Assertion: isomorphism | /r/Synonym | homeomorphism
Facets:
value: in topology
type: OTHER
Source sentences:
text: Since an isomorphism in the category of topological spaces is called a homeomorphism, f is not a homeomorphism between [0,1) and the unit circle.
text: In topology, when the morphisms are continuous functions, isomorphisms are also called homeomorphisms.
text: Isomorphisms in $\mathsf{Set}$ are called bijections, isomorphisms in $\mathsf{Top}$ are called homeomorphisms, isomorphisms in $\mathsf{Man}$ (the category of smooth manifolds and smooth maps) are called diffeomorphisms, isomorphisms in $\mathsf{Vect}_{\mathbb{k}}$ (the category of $\mathbb{k}$-vector spaces with linear transformations) are called, well, isomorphisms, and so on.