Yayınlanmış 1 Ocak 2022
| Sürüm v1
Dergi makalesi
Açık
WEAKLY EQUIVARIANT CLASSIFICATION OF SMALL COVERS OVER A PRODUCT OF SIMPLICIES
Oluşturanlar
- 1. Dokuz Eylul Univ, Dept Math, Izmir, Turkey
Açıklama
Given a dimension function omega, we introduce the notion of an omega-vector weighted digraph and an omega-equivalence between them. Then we establish a bijection between the weakly (Z/2)(n)-equivariant homeomorphism classes of small covers over a product of simplices Delta(omega(1)) x center dot center dot center dot x Delta(omega(m)) and the set of omega-equivalence classes of omega-vector weighted digraphs with m-labeled vertices, where n is the sum of the dimensions of the simplicies. Using this bijection, we obtain a formula for the number of weakly (Z/2)(n)-equivariant homeomorphism classes of small covers over a product of three simplices.
Dosyalar
bib-6723c2eb-dcae-41c8-b7fe-c789d317c495.txt
Dosyalar
(172 Bytes)
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