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Results tagged with gn.general-topology
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user 7311
Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.
21
votes
Atiyah-Singer index theorem
I know it may seem rather "old", but the notes from the IAS "Seminar on the Atiyah-Singer Index Theorem from back in 1965 (published by Princeton Univ. Press) may be just what you are looking for, sin …
- 15.3k
14
votes
Why the triangle inequality?
From a conceptual standpoint, the triangle inequality per se is NOT what you really need. What I always emphasize when I teach metric spaces is that what gets used over and over again is that "two thi …
10
votes
Accepted
local structure of free $\mathbb{R}$ actions
Such a theorem is proved for completely regular spaces $X$ in my article:
On the Existence of Slices for Actions of Non-Compact Lie Groups, Richard S. Palais, The Annals of Mathematics, Second Series …
- 15.3k
9
votes
When do isometric actions exist?
I am sorry That I am getting involved so late. I was away at a meeting for two days. I have an old (1961) paper in the ANNALS OF MATH called "On the Existence of Slices for Actions of Non-Compact Lie …
- 15.3k
6
votes
Accepted
A question about group action on topological space
Let's assume that $X$ is locally compact and instead of assuming that $G$ is a discrete group, assume more generally that it is locally compact and the action of $G$ on $X$ is continuous (i.e., the ma …
- 15.3k
4
votes
Compactness and Covering Spaces
Well, the obvious argument that any sequence has a convergent subsequence that your three friends used for the metrizeable case generalizes easily to show that any net has a convergent subnet in the g …
- 15.3k