On small covers over a product of simplices

Altunbulak M., Guclukan Ilhan A.

TURKISH JOURNAL OF MATHEMATICS, vol.42, no.3, pp.1528-1535, 2018 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 42 Issue: 3
  • Publication Date: 2018
  • Doi Number: 10.3906/mat-1706-40
  • Journal Name: TURKISH JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.1528-1535
  • Keywords: Small cover, equivariant homeomorphism, polytope, acyclic digraph, NUMBER
  • Dokuz Eylül University Affiliated: Yes

Abstract

In this paper, we give a formula for the number of Z(2)(n) -equivariant homeomorphism classes of small covers over a product of simplices. We also give an upper bound for the number of small covers over a product of simplices up to homeomorphism.