Polyhedral Products for Connected Sums of Simplicial Complexes

被引：1

作者：

Theriault, Stephen ^{[1
]}

机构：

[1] Univ Southampton, Math Sci, Southampton SO17 1BJ, Hants, England

来源：

PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2022年 / 317卷 / 01期

关键词：

polyhedral product; simplicial complex; connected sum; HOMOTOPY TYPE; MANIFOLDS;

D O I：

10.1134/S0081543822020080

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate how the homotopy type of a polyhedral product changes under the operation of taking the connected sum of two simplicial complexes. This is obtained as a consequence of a more general result that considers how the homotopy type of a polyhedral product changes under the operation of gluing two simplicial complexes together along a common full subcomplex.

引用

页码：151 / 160

页数：10

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