共 50 条
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}.
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页码:3383 / 3392
页数:10
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