Finite sets containing zero are mapping degree sets

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In this paper we solve in the positive the question of whether any finite set of integers, containing 0, 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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Cristina Costoya, Vicente Muñoz, Antonio Viruel, Finite sets containing zero are mapping degree sets, Advances in Mathematics, Volume 457, 2024, 109942, ISSN 0001-8708. https://doi.org/10.1016/j.aim.2024.109942.

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