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}.
机构:
Russian Acad Sci, Steklov Math Inst, Moscow, Russia
Natl Res Univ Higher Sch Econ, Moscow, RussiaRussian Acad Sci, Steklov Math Inst, Moscow, Russia
机构:
Wayne State Univ, Dept Math, 1150 Fac Adm Bldg,656 W Kirby, Detroit, MI 48202 USAWayne State Univ, Dept Math, 1150 Fac Adm Bldg,656 W Kirby, Detroit, MI 48202 USA
Corrigan-Salter, Bruce R.
THEORY AND APPLICATIONS OF CATEGORIES,
2016,
31
: 462
-
476