MIXING CATEGORIES

被引:10
|
作者
Oprea, John [1 ]
Strom, Jeff [2 ]
机构
[1] Cleveland State Univ, Dept Math, Cleveland, OH 44115 USA
[2] Western Michigan Univ, Dept Math, Kalamazoo, MI 49008 USA
基金
美国国家科学基金会;
关键词
Lusternik-Schnirelmann category; LUSTERNIK-SCHNIRELMANN CATEGORY; FUNDAMENTAL GROUP; SPACES; THEOREM;
D O I
10.1090/S0002-9939-2011-10958-4
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We show that cat(X) <= cat(1)(X) + cat(1)(X), where cat(1)(X) is Fox's 1-dimensional category and cat(1)(X) is the A-category of Clapp and Puppe with A = {1-dimensional spaces}.
引用
收藏
页码:3383 / 3392
页数:10
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