A topological interpretation of numbers

Christoforos Neofytidis

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arXiv · 2607.26926

A topological interpretation of numbers

Christoforos Neofytidis

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Abstract

We survey recent advancements on the realisation problem for mapping degree sets. In particular, we explain that any finite set containing zero is the mapping degree set between some $n$-manifolds, for each $n\geq3$. Our building factors for the construction of the realising manifolds will be aspherical manifolds. Thus, along the way, we review a couple of open questions related to maps of non-zero degree for aspherical manifolds.

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Christoforos Neofytidis. 2026-07-29. A topological interpretation of numbers. https://arxiv.org/abs/2607.26926

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