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:
Harvard Univ, Dept Math, 1 Oxford St, Cambridge, MA 02138 USAHarvard Univ, Dept Math, 1 Oxford St, Cambridge, MA 02138 USA
Elmanto, Elden
Sosnilo, Vladimir
论文数: 0引用数: 0
h-index: 0
机构:
St Petersburg State Univ, Lab Modern Algebra & Applicat, 14th Line,29B, St Petersburg 199178, RussiaHarvard Univ, Dept Math, 1 Oxford St, Cambridge, MA 02138 USA
机构:
Univ Michigan, Dept Math & Stat, Dearborn, MI 48128 USA
Univ Chicago, Dept Math, Chicago, IL 60637 USAUniv Michigan, Dept Math & Stat, Dearborn, MI 48128 USA
Fiore, Thomas M.
Lueck, Wolfgang
论文数: 0引用数: 0
h-index: 0
机构:
Univ Munster, Fachbereich Math, D-48149 Munster, GermanyUniv Michigan, Dept Math & Stat, Dearborn, MI 48128 USA
Lueck, Wolfgang
Sauer, Roman
论文数: 0引用数: 0
h-index: 0
机构:
Univ Munster, Fachbereich Math, D-48149 Munster, GermanyUniv Michigan, Dept Math & Stat, Dearborn, MI 48128 USA