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Answer to Question #5664 in Differential Geometry | Topology for Akhtar Rasoolmaths

Question #5664
Dear Expert sir what is a a topological property
Expert's answer
In topology and related areas of mathematics a topological property or topological invariant is a property of a topological space which is invariant under homeomorphisms. That is, a property of spaces is a topological property if whenever a space X possesses that property every space homeomorphic to X possesses that property. Informally, a topological property is a property of the space that can be expressed using open sets.

A common problem in topology is to decide whether two topological spaces are homeomorphic or not. To prove that two spaces are not homeomorphic, it is sufficient to find a topological property which is not shared by them.

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Assignment Expert
28.02.12, 15:15

Dear Akhtar
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Akhtar Rasool
26.02.12, 13:57

thank you so much.

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