Fundamental properties of Björner's complexes

Kazunori Noguchi

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Article number107055
JournalTopology and its Applications
Publication statusPublished - 2020 Mar 1


  • Björner's complexes
  • Prime numbers

ASJC Scopus subject areas

  • Geometry and Topology


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