MathGloss

A homeomorphism between two topological spaces $X$ and $Y$ is a function $f: X\to Y$ such that

1. $f$ is continuous.
2. $f$ is bijective.
3. $f^{-1}:Y\to X$ is continuous.

Two topological spaces $X$ and $Y$ are homeomorphic if there exists a homeomorphism between them.

Wikidata ID: Q202906

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