# 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

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.

**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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## Comments

Assignment Expert28.02.12, 15:15Dear Akhtar

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Akhtar Rasool26.02.12, 13:57thank you so much.

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