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Results tagged with fa.functional-analysis
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user 101132
Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
4
votes
0
answers
428
views
On some characteristics of continuous maps $S^n \to \mathbb{R}^n$
I've asked this question about two month ago in math exchange but there were no answer to it.
Any information or paper relating to this question is appreciated.
By the Borsuk-Ulam theorem we know tha …
- 289
5
votes
3
answers
471
views
Is there a dense subset on closed Jordan curve $C$ which its points make intersections under...
Is it true that for any given closed Jordan curve of $C \subset \mathbb{R}^2$ there is a dense subset $A$ such that for every point $p\in A$ we have the following property:
If we rotate $C$ around $p …
- 289
1
vote
Accepted
Is there a dense subset on closed Jordan curve $C$ which its points make intersections under...
Thanks for the efforts have done on this problem specially by @erz ,but It seems that Mark J.Nielsen have solved this problem here (that I have found it recently), while he was proving this theorem a …