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Results tagged with gn.general-topology
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user 36367
Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.
13
votes
1
answer
456
views
A generalization of residual finiteness to topological groups
Consider the following generalization of residual finiteness to
topological groups.
A locally compact Hausdorff group $G$ is called residually compact if
for every compact $K \subseteq G$ there is a …
7
votes
Choosing a metric in which homeomorphism is Holder continuous
This is not a complete answer, but topological entropy is not enough to rule out Hölder continuity. The following Hölder continuous automorphism of the Cantor space has infinite topological entropy.
I …
4
votes
0
answers
87
views
Almost invariance in compact quotients of locally compact groups
While trying to get an analogue of Weiss's monotiling result for amenable residually finite groups
in the topological setting, I face the following problem.
Let $G$ be a locally compact amenable grou …