Seonglae ChoHomeo
Homeomorphism: A continuous function between topological spaces that preserves structure and has a continuous inverse. Homeomorphism group: The group of such mappings with composition as the operation.
Homeomorphism group
In mathematics, particularly topology, the homeomorphism group of a topological space is the group consisting of all homeomorphisms from the space to itself with function composition as the group operation. They are important to the theory of topological spaces, generally exemplary of automorphism groups and topologically invariant in the group isomorphism sense.
https://en.wikipedia.org/wiki/Homeomorphism_group