Homeomorphism/Related Articles

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A list of Citizendium articles, and planned articles, about Homeomorphism.
See also changes related to Homeomorphism, or pages that link to Homeomorphism or to this page or whose text contains "Homeomorphism".

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  • Cantor set [r]: A fractal generated by starting with the interval [0,1] and removing the middle thirds of all the intervals at every iteration. [e]
  • Compact space [r]: A toplogical space for which every covering with open sets has a finite subcovering. [e]
  • Compactification [r]: A compact space in which a given topological space can be embedded as a dense subset. [e]
  • Complete metric space [r]: Property of spaces in which every Cauchy sequence converges to an element of the space. [e]
  • Continuity [r]: Property of a function for which small changes in the argument of the function lead to small changes in the value of the function. [e]
  • Equivalence relation [r]: A reflexive symmetric transitive binary relation on a set. [e]
  • Manifold (geometry) [r]: An abstract mathematical space. [e]
  • Mathematics [r]: The study of quantities, structures, their relations, and changes thereof. [e]
  • Open map [r]: Function between two topological spaces which sends each open set of one to an open set of the other. [e]
  • Real number [r]: A limit of the Cauchy sequence of rational numbers. [e]
  • Relation (mathematics) [r]: A property which holds between certain elements of some set or sets. [e]
  • Topological space [r]: A mathematical structure (generalizing some aspects of Euclidean space) defined by a family of open sets. [e]
  • Topology [r]: A branch of mathematics that studies the properties of objects that are preserved through continuous deformations (such as stretching, bending and compression). [e]