Concept information
Preferred term
topological group
Definition
- In mathematics, topological groups are the combination of groups and topological spaces, i.e. they are groups and topological spaces at the same time, such that the continuity condition for the group operations connects these two structures together and consequently they are not independent from each other.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Topological_group)
Broader concept
Narrower concepts
- adelic algebraic group
- amenable group
- Bohr compactification
- Cantor cube
- Chabauty topology
- compact group
- discontinuous group
- discrete group
- extension of a topological group
- Hilbert-Smith conjecture
- homeomorphism group
- Kazhdan's property (T)
- Kronecker's theorem
- Lie group
- locally compact abelian group
- locally compact group
- locally profinite group
- loop group
- Mautner's lemma
- monothetic group
- noncommutative harmonic analysis
- profinite group
- restricted product
- semitopological group
- topological abelian group
- totally disconnected group
- von Neumann conjecture
In other languages
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French
URI
http://data.loterre.fr/ark:/67375/PSR-VJSFMZ3M-S