School of Mathematical & Statistical Sciences Faculty Publications

Minimal Simplicial Spherical Mappings with a Given Degree

Document Type

Article

Publication Date

5-1-2026

Abstract

We study the minimal number of vertices of a triangulation of the -sphere to admit a simplicial map to the boundary of an -simplex with a given degree. For each dimension, we find upper estimates for and obtain the asymptotics of this number with increasing degree. For small degrees (), we show that the minimal number of vertices is. A key technical result is an identity that reduces higher-dimensional cases to lower-dimensional ones.

Comments

https://rdcu.be/BL1sLBHo9tTa

First Page

1021

Last Page

1024

Publication Title

Mathematical Notes

DOI

10.1134/S0001434626602868

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