Homeomorphism

Natural & Formal Sciences Dictionary
A bijective continuous map between topological spaces that has a continuous inverse, establishing a topological equivalence between the spaces.

Homeomorphism

- Natural & Formal Sciences -
Mathematics & Logic Dictionary
A continuous bijection between two topological spaces whose inverse is also continuous; it establishes a topological equivalence that preserves open sets, continuity properties, and topological invariants.

Homeomorphism

- Mathematics & Logic -
Pure Mathematics Dictionary
A bijective continuous map between topological spaces whose inverse is also continuous; it is the isomorphism notion in the category of topological spaces and identifies spaces that are topologically the same.