Fundamental properties of Björner's complexes

研究成果: Article査読

抄録

We study fundamental properties of Björner's complexes {Δn}n≥1. These simplicial complexes encode significant. The Prime Number Theorem and the Riemann Hypothesis are equivalent to certain estimates of the reduced Euler characteristics of these complexes as n→∞. In this paper, we show two facts: the dimension of Δn is approximated by log⁡n/log⁡log⁡n, and that the number of the maximal dimensional simplices in Δn is less than some constant to the dimension of Δn.

本文言語English
論文番号107055
ジャーナルTopology and its Applications
272
DOI
出版ステータスPublished - 2020 3 1

ASJC Scopus subject areas

  • Geometry and Topology

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