Open map: Difference between revisions
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imported>Richard Pinch (New entry, just a stub) |
imported>Richard Pinch (supplied References: Kelley) |
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A [[homeomorphism]] may be defined as a [[continuous map|continuous]] open [[bijection]]. | A [[homeomorphism]] may be defined as a [[continuous map|continuous]] open [[bijection]]. | ||
==References== | |||
* {{cite book | author=J.L. Kelley | authorlink=John L. Kelley | title=General topology | publisher=van Nostrand | year= 1955 | pages=90 }} | |||
Revision as of 02:33, 31 December 2008
In general topology, an open map is a function on a topological space which maps every open set in the domain to an open set in the image.
A homeomorphism may be defined as a continuous open bijection.
References
- J.L. Kelley (1955). General topology. van Nostrand, 90.