Uniform space: Revision history

17 October 2013

• curprev 06:0006:00, 17 October 2013‎ imported>Meg Taylor‎ 46,158 bytes −35‎ No edit summary

7 February 2010

• curprev 21:0121:01, 7 February 2010‎ imported>Meg Taylor‎ m 46,193 bytes +46,193‎ spelling: folows -> follows

10 December 2008

• curprev 17:2817:28, 10 December 2008‎ imported>Richard Pinch‎ m 46,192 bytes +29,886‎ →‎The induced topology: links

1 November 2008

• curprev 12:3812:38, 1 November 2008‎ imported>Richard Pinch‎ 46,172 bytes +29,866‎ →‎Topological prerequisites: links

31 December 2007

• curprev 01:5301:53, 31 December 2007‎ imported>Wlodzimierz Holsztynski‎ 46,147 bytes +159‎ →‎Uniform subspace: direct description

30 December 2007

• curprev 07:3807:38, 30 December 2007‎ imported>Wlodzimierz Holsztynski‎ 45,988 bytes −232‎ →‎Partial order of uniformities: a promise of a simple glb construction removed.

29 December 2007

• curprev 03:4503:45, 29 December 2007‎ imported>Wlodzimierz Holsztynski‎ m 46,220 bytes +16‎ →‎Partial order: a fuller title

28 December 2007

• curprev 22:3922:39, 28 December 2007‎ imported>Wlodzimierz Holsztynski‎ 46,204 bytes +1,524‎ →‎Uniform (cartesian) product: characterization
• curprev 21:3021:30, 28 December 2007‎ imported>Wlodzimierz Holsztynski‎ 44,680 bytes +704‎ →‎Uniform (cartesian) product
• curprev 20:5020:50, 28 December 2007‎ imported>Wlodzimierz Holsztynski‎ 43,976 bytes +989‎ →‎Uniform subspace: characterization
• curprev 20:4020:40, 28 December 2007‎ imported>Wlodzimierz Holsztynski‎ 42,987 bytes +1,156‎ →‎Preimage: functional (morphism) characterization of preimage uniformity
• curprev 20:0520:05, 28 December 2007‎ imported>Wlodzimierz Holsztynski‎ m 41,443 bytes −388‎ →‎Preimage: typo
• curprev 20:0320:03, 28 December 2007‎ imported>Wlodzimierz Holsztynski‎ 41,441 bytes −390‎ →‎Preimage: correction (fighting trivialities, boredom, tiredness :-)
• curprev 19:5719:57, 28 December 2007‎ imported>Wlodzimierz Holsztynski‎ m 41,831 bytes +335‎ →‎Preimage: typo
• curprev 19:4719:47, 28 December 2007‎ imported>Wlodzimierz Holsztynski‎ 41,832 bytes +336‎ →‎Preimage: clean thm
• curprev 19:3019:30, 28 December 2007‎ imported>Wlodzimierz Holsztynski‎ 41,496 bytes +70‎ →‎Preimage: missing phrase added
• curprev 19:2219:22, 28 December 2007‎ imported>Wlodzimierz Holsztynski‎ 41,426 bytes +1,974‎ →‎Partial order: l.u.b. (to be cont.)
• curprev 16:1816:18, 28 December 2007‎ imported>Wlodzimierz Holsztynski‎ 39,452 bytes +501‎ →‎Partial order: Birkhoff lattice
• curprev 16:0116:01, 28 December 2007‎ imported>Wlodzimierz Holsztynski‎ 38,951 bytes +705‎ →‎Uniform subspace
• curprev 15:3015:30, 28 December 2007‎ imported>Wlodzimierz Holsztynski‎ m 38,248 bytes +2‎ →‎Preimage: format
• curprev 15:2915:29, 28 December 2007‎ imported>Wlodzimierz Holsztynski‎ 38,246 bytes −3,657‎ →‎Partial order, intersection, subbase: correction of an ERROR
• curprev 09:1209:12, 28 December 2007‎ imported>Wlodzimierz Holsztynski‎ m 41,980 bytes +66‎ →‎Preimage: missing words added
• curprev 09:0909:09, 28 December 2007‎ imported>Wlodzimierz Holsztynski‎ 41,914 bytes +11‎ →‎Preimage: surjective
• curprev 09:0709:07, 28 December 2007‎ imported>Wlodzimierz Holsztynski‎ m 41,903 bytes +1,374‎ →‎Preimage: typos
• curprev 09:0609:06, 28 December 2007‎ imported>Wlodzimierz Holsztynski‎ 41,903 bytes +1,363‎ →‎Preimage
• curprev 06:5606:56, 28 December 2007‎ imported>Wlodzimierz Holsztynski‎ m 40,540 bytes +11‎ →‎Historical remarks: both notations

27 December 2007

• curprev 16:2416:24, 27 December 2007‎ imported>Wlodzimierz Holsztynski‎ m 40,530 bytes +1‎ →‎The induced topology: cosmetic
• curprev 16:1916:19, 27 December 2007‎ imported>Wlodzimierz Holsztynski‎ 40,529 bytes +11,317‎ →‎The induced topology: open uniform base
• curprev 08:3908:39, 27 December 2007‎ imported>Wlodzimierz Holsztynski‎ 39,270 bytes +202‎ →‎Partial order, intersection, subbase: lub(F) as generated by a subbase.
• curprev 08:3308:33, 27 December 2007‎ imported>Wlodzimierz Holsztynski‎ 39,068 bytes +1,891‎ →‎Partial order, intersection, subbase: lub( ) in terms of uniform maps
• curprev 05:5705:57, 27 December 2007‎ imported>Wlodzimierz Holsztynski‎ 38,277 bytes +1,098‎ →‎Separation properties: T_0 <=> Hausdorff <=> separating for uniform spaces.
• curprev 05:2105:21, 27 December 2007‎ imported>Wlodzimierz Holsztynski‎ 37,921 bytes +742‎ →‎Partial order, intersection, subbase: uniform map characteristic of glb
• curprev 05:0405:04, 27 December 2007‎ imported>Wlodzimierz Holsztynski‎ 37,179 bytes +2‎ →‎Constructions and operations: moved
• curprev 05:0105:01, 27 December 2007‎ imported>Wlodzimierz Holsztynski‎ 34,149 bytes −3,028‎ →‎Constructions and operations: I am moving it further down
• curprev 05:0005:00, 27 December 2007‎ imported>Wlodzimierz Holsztynski‎ 37,177 bytes 0‎ Undo revision 100239238 by Wlodzimierz Holsztynski (Talk)
• curprev 04:5804:58, 27 December 2007‎ imported>Wlodzimierz Holsztynski‎ 34,552 bytes −2,625‎ →‎Partial order, intersection, subbase: I am moving this section further down

26 December 2007

• curprev 20:3620:36, 26 December 2007‎ imported>Wlodzimierz Holsztynski‎ m 37,177 bytes +3,253‎ →‎Partial order, intersection, subbase: typo
• curprev 20:3520:35, 26 December 2007‎ imported>Wlodzimierz Holsztynski‎ m 37,176 bytes 0‎ →‎Constructions and operations: typo
• curprev 20:3320:33, 26 December 2007‎ imported>Wlodzimierz Holsztynski‎ m 37,176 bytes +115‎ →‎Constructions and operations: categories remark
• curprev 20:2520:25, 26 December 2007‎ imported>Wlodzimierz Holsztynski‎ 37,061 bytes +3,137‎ →‎Constructions and operations: Partial order, intersection, Birkhoff lattice
• curprev 16:2016:20, 26 December 2007‎ imported>Wlodzimierz Holsztynski‎ 34,147 bytes +223‎ →‎Two extreme examples: more
• curprev 16:0416:04, 26 December 2007‎ imported>Wlodzimierz Holsztynski‎ 33,924 bytes +2,873‎ →‎Equivalence of pointers, maximal and minimal pointers
• curprev 07:4007:40, 26 December 2007‎ imported>Wlodzimierz Holsztynski‎ 33,442 bytes +439‎ →‎Uniform continuity: uniform homeomorphism
• curprev 07:2507:25, 26 December 2007‎ imported>Wlodzimierz Holsztynski‎ m 33,003 bytes −2‎ typo
• curprev 07:2307:23, 26 December 2007‎ imported>Wlodzimierz Holsztynski‎ 33,005 bytes +1,954‎ →‎Complete uniform spaces and completions
• curprev 06:4906:49, 26 December 2007‎ imported>Wlodzimierz Holsztynski‎ 31,051 bytes +1,839‎ →‎Equivalence of pointers: minimal upward full pointers, and maximal pointers
• curprev 04:3704:37, 26 December 2007‎ imported>Wlodzimierz Holsztynski‎ 29,445 bytes +233‎ →‎Equivalence of pointers: An eq. condition
• curprev 03:0203:02, 26 December 2007‎ imported>Wlodzimierz Holsztynski‎ 29,373 bytes +161‎ →‎Clusters: properties

25 December 2007

• curprev 23:2023:20, 25 December 2007‎ imported>Wlodzimierz Holsztynski‎ 29,212 bytes +12,906‎ →‎Separation properties: proof of U. U. Lemma
• curprev 19:5719:57, 25 December 2007‎ imported>Wlodzimierz Holsztynski‎ m 26,656 bytes −2‎ →‎Topological prerequisites: no need for " 's "
• curprev 19:5519:55, 25 December 2007‎ imported>Wlodzimierz Holsztynski‎ 26,658 bytes +325‎ →‎Neighbors: another property + remark
• curprev 19:0019:00, 25 December 2007‎ imported>Wlodzimierz Holsztynski‎ m 26,335 bytes +2‎ →‎Historical remarks: "the" rather than "a"
• curprev 18:5818:58, 25 December 2007‎ imported>Wlodzimierz Holsztynski‎ 26,333 bytes +6,595‎ →‎Topological prerequisites: more
• curprev 18:5618:56, 25 December 2007‎ imported>Wlodzimierz Holsztynski‎ 26,272 bytes +988‎ →‎Separation properties: example
• curprev 18:1818:18, 25 December 2007‎ imported>Wlodzimierz Holsztynski‎ 25,284 bytes +36‎ →‎Convergent pointers: a complete statement
• curprev 05:3005:30, 25 December 2007‎ imported>Wlodzimierz Holsztynski‎ m 25,248 bytes 0‎ →‎Topological prerequisites: typo
• curprev 05:2805:28, 25 December 2007‎ imported>Wlodzimierz Holsztynski‎ 25,248 bytes +4,750‎ →‎Topological prerequisites
• curprev 04:5804:58, 25 December 2007‎ imported>Wlodzimierz Holsztynski‎ 24,460 bytes +1,835‎ →‎Historical remarks: internal link to Y.M.Smirnov
• curprev 04:5604:56, 25 December 2007‎ imported>Wlodzimierz Holsztynski‎ 24,443 bytes +22‎ →‎Historical remarks: internal link to P.S.Aleksandrov
• curprev 04:0404:04, 25 December 2007‎ imported>Wlodzimierz Holsztynski‎ 24,421 bytes +205‎ →‎Separation properties: explanation of T0 --> T2
• curprev 03:5603:56, 25 December 2007‎ imported>Wlodzimierz Holsztynski‎ 24,216 bytes +152‎ →‎Separation properties: T_0 implies Hausdorff.
• curprev 03:5103:51, 25 December 2007‎ imported>Wlodzimierz Holsztynski‎ m 24,074 bytes +10‎ →‎Separation properties: uniformly continuous Urysohn function
• curprev 03:3703:37, 25 December 2007‎ imported>Wlodzimierz Holsztynski‎ 24,064 bytes +1,439‎ →‎Separation properties: complete regularity
• curprev 03:0803:08, 25 December 2007‎ imported>Wlodzimierz Holsztynski‎ 22,625 bytes +724‎ →‎Separation properties
• curprev 02:2202:22, 25 December 2007‎ imported>Wlodzimierz Holsztynski‎ 21,901 bytes +594‎ →‎Separation properties

24 December 2007

• curprev 23:0323:03, 24 December 2007‎ imported>Wlodzimierz Holsztynski‎ 21,307 bytes +176‎ →‎Neighbors: either neighbors or apart
• curprev 22:5622:56, 24 December 2007‎ imported>Wlodzimierz Holsztynski‎ 21,131 bytes +633‎ →‎Separation properties: to be cont.
• curprev 22:2922:29, 24 December 2007‎ imported>Wlodzimierz Holsztynski‎ m 20,500 bytes +2‎ →‎Metric spaces: demotion
• curprev 22:2122:21, 24 December 2007‎ imported>Wlodzimierz Holsztynski‎ 20,498 bytes +760‎ →‎Neighbors: more
• curprev 22:0122:01, 24 December 2007‎ imported>Wlodzimierz Holsztynski‎ 20,096 bytes +358‎ →‎Auxiliary set-theoretical notation, notions and properties: more

22 December 2007

• curprev 23:0023:00, 22 December 2007‎ imported>Wlodzimierz Holsztynski‎ 19,818 bytes +80‎ →‎Convergent pointers: Hausdorff case
• curprev 22:4522:45, 22 December 2007‎ imported>Wlodzimierz Holsztynski‎ 19,738 bytes +3,081‎ →‎Pointers: the pointer of neighborhoods
• curprev 22:4322:43, 22 December 2007‎ imported>Wlodzimierz Holsztynski‎ 19,624 bytes +316‎ →‎Convergent pointers
• curprev 22:3322:33, 22 December 2007‎ imported>Wlodzimierz Holsztynski‎ 19,308 bytes +16‎ →‎Definition: correction
• curprev 22:2422:24, 22 December 2007‎ imported>Wlodzimierz Holsztynski‎ m 19,292 bytes +1,065‎ →‎Auxiliary set-theoretical notation, notions and properties: format, typo
• curprev 22:0422:04, 22 December 2007‎ imported>Wlodzimierz Holsztynski‎ 19,242 bytes +1,015‎ →‎Auxiliary set-theoretical notation, notions and properties: more
• curprev 21:1121:11, 22 December 2007‎ imported>Wlodzimierz Holsztynski‎ 18,227 bytes +201‎ →‎Neighbors: point-set nearness
• curprev 06:0406:04, 22 December 2007‎ imported>Wlodzimierz Holsztynski‎ 18,120 bytes +94‎ →‎Neighbors: another property
• curprev 05:5405:54, 22 December 2007‎ imported>Wlodzimierz Holsztynski‎ m 18,026 bytes +463‎ →‎Two extreme examples: hierarchy
• curprev 05:4705:47, 22 December 2007‎ imported>Wlodzimierz Holsztynski‎ m 18,024 bytes +134‎ →‎Uniform space (definition): uniformity
• curprev 05:4105:41, 22 December 2007‎ imported>Wlodzimierz Holsztynski‎ 17,890 bytes +327‎ →‎The induced topology: convention

21 December 2007

• curprev 23:1623:16, 21 December 2007‎ imported>Wlodzimierz Holsztynski‎ 17,563 bytes +906‎ →‎Equivalence of pointers: true equivalence.
• curprev 23:1123:11, 21 December 2007‎ imported>Wlodzimierz Holsztynski‎ 17,485 bytes +828‎ →‎Equivalence of pointers
• curprev 22:5622:56, 21 December 2007‎ imported>Wlodzimierz Holsztynski‎ m 16,888 bytes 0‎ →‎The induced topology: typo
• curprev 22:5522:55, 21 December 2007‎ imported>Wlodzimierz Holsztynski‎ m 16,888 bytes +231‎ →‎The induced topology: default
• curprev 22:5222:52, 21 December 2007‎ imported>Wlodzimierz Holsztynski‎ 16,712 bytes +55‎ →‎Pointers: base of neighborhoods
• curprev 22:5022:50, 21 December 2007‎ imported>Wlodzimierz Holsztynski‎ m 16,656 bytes −1‎ →‎Pointers: typo
• curprev 22:4922:49, 21 December 2007‎ imported>Wlodzimierz Holsztynski‎ 16,657 bytes +351‎ →‎Pointers: unif. maps
• curprev 22:2622:26, 21 December 2007‎ imported>Wlodzimierz Holsztynski‎ m 16,307 bytes +1‎ →‎Historical remarks: trivial
• curprev 22:2522:25, 21 December 2007‎ imported>Wlodzimierz Holsztynski‎ 16,306 bytes +16,306‎ →‎Historical remarks: Efremovich, Riesz, Aleksandrov-Urysohn
• curprev 22:0122:01, 21 December 2007‎ imported>Wlodzimierz Holsztynski‎ m 16,058 bytes +4,996‎ →‎Historical remarks
• curprev 21:5921:59, 21 December 2007‎ imported>Wlodzimierz Holsztynski‎ 16,044 bytes +4,982‎ hist.
• curprev 01:4301:43, 21 December 2007‎ imported>Hendra I. Nurdin‎ m 15,962 bytes +232‎ No edit summary

20 December 2007

• curprev 07:0707:07, 20 December 2007‎ imported>Wlodzimierz Holsztynski‎ 15,948 bytes +218‎ →‎Definition: subdivision into 2 subsections. Def of V-sets.
• curprev 06:5806:58, 20 December 2007‎ imported>Wlodzimierz Holsztynski‎ 15,730 bytes +2,327‎ →‎Pointers
• curprev 06:4106:41, 20 December 2007‎ imported>Wlodzimierz Holsztynski‎ m 15,327 bytes +1,924‎ →‎Pointers: never mind tight clusters
• curprev 06:4006:40, 20 December 2007‎ imported>Wlodzimierz Holsztynski‎ 15,343 bytes +1,940‎ →‎Clusters
• curprev 06:2606:26, 20 December 2007‎ imported>Wlodzimierz Holsztynski‎ 14,772 bytes +1,369‎ →‎Pointers

19 December 2007

• curprev 07:4907:49, 19 December 2007‎ imported>Wlodzimierz Holsztynski‎ 13,403 bytes +1,423‎ →‎The induced topology: explicit equality for the topology induced by d and by unif. str.
• curprev 07:3707:37, 19 December 2007‎ imported>Wlodzimierz Holsztynski‎ 13,282 bytes +771‎ →‎The induced topology: example
• curprev 07:1607:16, 19 December 2007‎ imported>Wlodzimierz Holsztynski‎ 12,511 bytes +531‎ →‎The induced topology: nonuniqueness of the uniform structure inducing a given topology
• curprev 06:1806:18, 19 December 2007‎ imported>Wlodzimierz Holsztynski‎ 11,980 bytes +918‎ →‎The symmetric base: Example
• curprev 05:3805:38, 19 December 2007‎ imported>Wlodzimierz Holsztynski‎ 11,062 bytes +2,146‎ →‎Uniform base: Symmetric base

18 December 2007

• curprev 19:3019:30, 18 December 2007‎ imported>Wlodzimierz Holsztynski‎ m 10,444 bytes +584‎ →‎Definition: cosmetic
• curprev 19:2619:26, 18 December 2007‎ imported>Wlodzimierz Holsztynski‎ 10,431 bytes +571‎ →‎Uniform base: base axioms
• curprev 18:5518:55, 18 December 2007‎ imported>Wlodzimierz Holsztynski‎ 9,860 bytes +944‎ →‎Metric spaces: the look
• curprev 18:5218:52, 18 December 2007‎ imported>Wlodzimierz Holsztynski‎ 9,855 bytes +939‎ →‎Metric spaces: details and the extension onto pseudo-metric spaces.
• curprev 18:1618:16, 18 December 2007‎ imported>Wlodzimierz Holsztynski‎ m 8,916 bytes +8,916‎ →‎Uniform base: typo (a bad one :-)
• curprev 18:0718:07, 18 December 2007‎ imported>Wlodzimierz Holsztynski‎ 8,923 bytes +3,629‎ →‎Uniform base: cnt
• curprev 17:5817:58, 18 December 2007‎ imported>Wlodzimierz Holsztynski‎ 8,597 bytes +465‎ →‎Uniform base
• curprev 17:4417:44, 18 December 2007‎ imported>Wlodzimierz Holsztynski‎ m 8,132 bytes −3‎ typo
• curprev 17:4117:41, 18 December 2007‎ imported>Wlodzimierz Holsztynski‎ 8,135 bytes +1,594‎ distance estimation for pairs of points
• curprev 17:1017:10, 18 December 2007‎ imported>Wlodzimierz Holsztynski‎ 6,724 bytes +118‎ →‎Definition: X x X as entourage
• curprev 10:3110:31, 18 December 2007‎ imported>Wlodzimierz Holsztynski‎ m 6,606 bytes +65‎ →‎The category of the uniform spaces: cosmetic
• curprev 07:5007:50, 18 December 2007‎ imported>Wlodzimierz Holsztynski‎ 6,541 bytes +1,247‎ →‎The category of the uniform spaces
• curprev 07:1007:10, 18 December 2007‎ imported>Wlodzimierz Holsztynski‎ 5,294 bytes +5,294‎ →‎Uniform continuity: constant functions
• curprev 07:0407:04, 18 December 2007‎ imported>Wlodzimierz Holsztynski‎ 5,081 bytes +469‎ →‎Uniform continuity: eps-dlt style :-)
• curprev 07:0307:03, 18 December 2007‎ imported>Hendra I. Nurdin‎ m 4,612 bytes +13‎ No edit summary
• curprev 06:4606:46, 18 December 2007‎ imported>Wlodzimierz Holsztynski‎ 4,599 bytes +4,599‎ →‎Uniform continuity
• curprev 06:3706:37, 18 December 2007‎ imported>Wlodzimierz Holsztynski‎ 4,327 bytes +904‎ →‎The induced topology: special cases (examplpes)
• curprev 06:3206:32, 18 December 2007‎ imported>Wlodzimierz Holsztynski‎ 4,016 bytes +593‎ →‎The induced topology
• curprev 06:1106:11, 18 December 2007‎ imported>Wlodzimierz Holsztynski‎ m 3,423 bytes +1,009‎ brief
• curprev 06:0906:09, 18 December 2007‎ imported>Wlodzimierz Holsztynski‎ m 3,436 bytes 0‎ Uniform spaces moved to Uniform space: singular convention (no plurals in the titles :-)
• curprev 06:0906:09, 18 December 2007‎ imported>Wlodzimierz Holsztynski‎ 3,436 bytes +511‎ →‎Metric spaces
• curprev 05:5005:50, 18 December 2007‎ imported>Wlodzimierz Holsztynski‎ 2,925 bytes +511‎ →‎Definition: diagonal
• curprev 05:3505:35, 18 December 2007‎ imported>Wlodzimierz Holsztynski‎ 2,875 bytes +461‎ →‎Definition: 2 examples
• curprev 05:2505:25, 18 December 2007‎ imported>Wlodzimierz Holsztynski‎ 2,414 bytes +2,414‎ Uniform spaces, start (history of the topic is badly needed; I'll write a bit more too)