Finite sets containing zero are mapping degree sets

Cristina Costoya; Vicente Muñoz; Antonio Viruel

doi:10.1016/j.aim.2024.109942

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arXiv · 2301.13719

Finite sets containing zero are mapping degree sets

Cristina Costoya·Vicente Muñoz·Antonio Viruel

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Abstract

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.

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BibTeX RIS

Cristina Costoya, Vicente Muñoz, Antonio Viruel. 2023-01-31. Finite sets containing zero are mapping degree sets. https://doi.org/10.1016/j.aim.2024.109942

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