Assertion: isomorphism's inverse | /r/HasProperty | continuous
Facets:
value: always
type: DEGREE
Source sentences:
text: For example, a bijective linear map is an isomorphism between vector spaces, and a bijective continuous function whose inverse is also continuous is an isomorphism between topological spaces, called a homeomorphism.
text: An isomorphism of topological spaces, called homeomorphism or bicontinuous map, is thus a bijective continuous map, whose inverse is also continuous.
text: for them inverses are always continuous, just like in algebra inverses of homomorphisms are homomorphisms.
text: (We do the same thing with topological spaces, where the concept of isomorphism is that of homeomorphism, which is a continuous map that has an inverse, and the inverse is also continuous.
text: For example, a bijective linear map is an isomorphism between vector spaces, and a bijective continuous function whose inverse is also continuous is an isomorphism between topological spaces, called a homeomorphism.