Lower bound theorem for normal pseudomanifolds

被引：18

作者：

Bagchi, Bhaskar ^{[1
]}

Datta, Basudeb ^{[2
]}

机构：

[1] Indian Stat Inst, Theoret Stat & Math Unit, Bangalore 560059, Karnataka, India

[2] Indian Inst Sci, Dept Math, Bangalore 560012, Karnataka, India

来源：

EXPOSITIONES MATHEMATICAE | 2008年 / 26卷 / 04期

关键词：

Stacked spheres; Lower bound theorem; Triangulated manifolds; Pseudomanifolds;

D O I：

10.1016/j.exmath.2008.06.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we present a self-contained combinatorial proof of the lower bound theorem for normal pseudomanifolds, including a treatment of the cases of equality in this theorem. We also discuss McMullen and Walkup's generalized lower bound conjecture for triangulated spheres in the context of the lower bound theorem. Finally, we pose a new lower bound conjecture for non-simply connected triangulated manifolds. (c) 2008 Elsevier GmbH. All rights reserved.

引用

页码：327 / 351

页数：25

共 14 条

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