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Results tagged with gn.general-topology
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user 61824
Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.
6
votes
1
answer
227
views
Example similar to the Griffiths twin cone but with fundamental group that allows surjection...
The Griffiths twin cone is an example of a wedge sum of two contractible spaces being non-contractible. Namely, it is the wedge sum $\mathbb G=C\mathbb H\vee_p C\mathbb H$ of two coni over the Hawaiia …
2
votes
0
answers
90
views
First Betti number of a Reeb graph is not greater than that of the space?
(I have asked this question at math stackexchange, it was upvoted but got no answers; maybe you can help.)
It is well-known that $\beta_1(R(f))\le\beta_1(X)$, where $\beta_1$ is the first Betti numbe …