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Results tagged with gn.general-topology
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user 25235
Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.
2
votes
1
answer
188
views
Test functions with small support and nonnegative Fourier transform
The following problem arose in a question I recently asked : given a (possibly non abelian) compact group $G$ and a neighbourhood $U$ of the identity in $G$, can we always find a function $f : G \maps …
- 235
10
votes
3
answers
313
views
The identity element of a compact group is a limit point of any "polynomial sequence"
Is there an "elementary" (say ultrafilter-free) proof of the following fact: if $G$ is a compact (Hausdorff) topological group, if $g \in G$ is any element from this group, and if $P$ is a polynomial …
- 235