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Results tagged with homogeneous-spaces
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user 61536
6
votes
Accepted
Is Bing's countable connected space topologically homogeneous?
The Bing space is topologically homogeneous.
The proof of this fact can be found here. It is a bit long (to be reproduced here) and uses the standard back-and-forth argument.
- 41.8k
8
votes
0
answers
130
views
Local vs global homogeneity of topological spaces
I am interested in the relation between global and local homogeneity of topological spaces. On one extreme we have rigid spaces, i.e., topological spaces with trivial homeomorphism group.
Question. D …
- 41.8k
14
votes
1
answer
502
views
Is Bing's countable connected space topologically homogeneous?
In this paper R.H. Bing has constructed his famous example of a countable connected Hausdorff space.
The Bing space $\mathbb B$ is the rational half-plane $\{(x,y)\in\mathbb Q\times \mathbb Q:y\ge 0 …
- 41.8k
9
votes
Accepted
Can an acyclic continuum be metrically homogenous? (I'd say: no way! :-)
It seems that the conjecture (H2) can be confirmed with help of the recent result of Hofmann and Kramer (http://arxiv.org/pdf/1301.5114.pdf) who proved that for a compact topological group $G$ and a c …
- 41.8k