topological invariant

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topological invariant

Also known as: topological property

Learn about this topic in these articles:

homeomorphism

In homeomorphism
A topological property is defined to be a property that is preserved under a homeomorphism. Examples are connectedness, compactness, and, for a plane domain, the number of components of the boundary. The most general type of objects for which homeomorphisms can be defined are topological spaces.…
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topological equivalence

In topology: Continuity
Thus, for general topological spaces, invariant properties are those preserved by homeomorphisms.
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