skip to main content
LOTERRE

LOTERRE

Search from vocabulary

Content language

| español français
Search help

Concept information

algebra > group theory > topological group > homeomorphism group

Preferred term

homeomorphism group  

Definition(s)

  • 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. Homeomorphism groups are very important in the theory of topological spaces and in general are examples of automorphism groups. Homeomorphism groups are topological invariants in the sense that the homeomorphism groups of homeomorphic topological spaces are isomorphic as groups.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Homeomorphism_group)

Broader concept(s)

In other languages

URI

http://data.loterre.fr/ark:/67375/PSR-C77JTFF7-B

Download this concept:

RDF/XML TURTLE JSON-LD Created 8/30/23, last modified 8/30/23