Definition: Homeomorphic Spaces
Two topological spaces and are homeomorphic if there exists a homeomorphism between them.
NOTATION
Theorem
The existence of a homeomorphism is an equivalence relation.
PROOF
TODO
Definition: Homeomorphic Spaces
Two topological spaces (X,τX) and (Y,τY) are homeomorphic if there exists a homeomorphism between them.
NOTATION
(X,τX)≅(Y,τY)
Theorem
The existence of a homeomorphism is an equivalence relation.
PROOF
TODO