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Results tagged with topological-semigroups-and-monoids
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user 15934
Topological semigroups/monoids: topological space endowed with a continuous semigroup/monoid structure, or, equivalently, semigroup/monoid endowed with a compatible topology.
5
votes
Spaces with no topological monoid structure which are homotopy equivalent to topological mon...
It is known that the topological closure of the curve $y=\sin(1/x)$ has no topological monoid structure but I don't know if it is homotopy equivalent to a monoid.
Edit. It is shown here that no mono …
- 38.6k
10
votes
Accepted
Stone–Čech compactification as a semigroup
Corollary 4.33 of Hindman and Strauss's book on Algebra in the Stone Cech Compactification says that if $S$ is an infinite cancellative (discrete) semigroup, then the nonprincipal ultrafilters in $\be …
- 38.6k