Bounding volume by systoles of 3-manifolds

被引：6
作者：
Katz, Mikhail G. [1 ]
Rudyak, Yuli B. [2 ]
机构：
[1] Bar Ilan Univ, Dept Math, IL-52900 Ramat Gan, Israel
[2] Univ Florida, Dept Math, Gainesville, FL 32611 USA
来源：
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2008年 / 78卷
基金：
以色列科学基金会; 美国国家科学基金会;
关键词：
D O I：
10.1112/jlms/jdm105
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove a new systolic volume lower bound for non-orientable n-manifolds, involving the stable 1-systole as well as the codimension-1 systole with coe. cients in Z(2). As an application, we prove that Lusternik-Schnirelmann category and systolic category agree for non-orientable closed manifolds of dimension 3, extending our earlier result in the orientable case. Finally, we prove the homotopy invariance of systolic category.
引用
收藏
页码：407 / 417
页数：11
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