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topological property
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.
==Common topological properties==
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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