Borsuk-Ulam type theorems for metric spaces
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2012
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| _version_ | 1866909461323448320 |
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| author | Akopyan, Arseniy Karasev, Roman Volovikov, Alexey |
| author_facet | Akopyan, Arseniy Karasev, Roman Volovikov, Alexey |
| contents | In this paper we study the problems of the following kind: For a pair of topological spaces $X$ and $Y$ find sufficient conditions that under every continuous map $f : X\to Y$ a pair of sufficiently distant points is mapped to a single point. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1209_1249 |
| institution | arXiv |
| publishDate | 2012 |
| record_format | arxiv |
| spellingShingle | Borsuk-Ulam type theorems for metric spaces Akopyan, Arseniy Karasev, Roman Volovikov, Alexey Metric Geometry Algebraic Topology 55M20, 51F99, 53C23 In this paper we study the problems of the following kind: For a pair of topological spaces $X$ and $Y$ find sufficient conditions that under every continuous map $f : X\to Y$ a pair of sufficiently distant points is mapped to a single point. |
| title | Borsuk-Ulam type theorems for metric spaces |
| topic | Metric Geometry Algebraic Topology 55M20, 51F99, 53C23 |
| url | https://arxiv.org/abs/1209.1249 |