Topological invariant

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A topological invariant or topological property is in the mathematical subfield of topology a common property of topological spaces that are homeomorphic to one another .

Since homeomorphisms are excellent equivalence relations in topology , spaces can be distinguished using topological invariants: in order to prove that two topological spaces are not homeomorphic, it is sufficient to find a topological invariant that is different for both spaces. For example, spaces with a different number of open sets are topologically different.

Topological invariants

Individual evidence

  1. ^ Encyclopedia Britannica