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.

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 Expert28.02.12, 15:15Dear Akhtar

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

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