Finite sets containing zero are mapping degree sets
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866912029559750656 |
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| author | Costoya, Cristina Muñoz, Vicente Viruel, Antonio |
| author_facet | Costoya, Cristina Muñoz, Vicente Viruel, Antonio |
| contents | In this paper we solve in the positive the question of whether any finite set of integers, containing the zero, is the mapping degree set between two oriented closed connected manifolds of the same dimension. We extend this question to the rational setting, where an affirmative answer is also given. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_13719 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Finite sets containing zero are mapping degree sets Costoya, Cristina Muñoz, Vicente Viruel, Antonio Geometric Topology Algebraic Topology Number Theory 55M25, 57N65, 55P62, 55R10 In this paper we solve in the positive the question of whether any finite set of integers, containing the zero, is the mapping degree set between two oriented closed connected manifolds of the same dimension. We extend this question to the rational setting, where an affirmative answer is also given. |
| title | Finite sets containing zero are mapping degree sets |
| topic | Geometric Topology Algebraic Topology Number Theory 55M25, 57N65, 55P62, 55R10 |
| url | https://arxiv.org/abs/2301.13719 |