Product type inequalities for the geometric category

被引：0
作者：
Cicortas, G. [1 ]
机构：
[1] Univ Oradea, Fac Sci, Oradea 410087, Romania
来源：
BALKAN JOURNAL OF GEOMETRY AND ITS APPLICATIONS | 2009年 / 14卷 / 02期
关键词：
geometric category; categorical sequence; relative geometric category; LUSTERNIK-SCHNIRELMANN CATEGORY; CRITICAL-POINTS; MOTION; SPACE;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The geometric category of a space was defined by R. H. Fox and it is a generalization of the Lusternik-Schnirelmann category. In the first part of this paper we give a characterization theorem of geometric category. Then we prove the product inequality and give some examples. In the last part of the paper we introduce the relative geometric category and we study some of its properties.
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页码：34 / 41
页数：8
相关论文
共 24 条
[1]  
Aghasi M, 2007, BALK J GEOM APPL, V12, P1
[2]   On smooth maps with finitely many critical points (vol 69, pg 783, 2004) [J].
Andrica, D ;
Funar, L .
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2006, 73 :231-236
[3]   On smooth maps with finitely many critical points [J].
Andrica, D ;
Funar, L .
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2004, 69 :783-800
[4]  
ANDRICA D, 2002, BALK J GEOM APPL, V7, P1
[5]  
ANDRICA D, 1993, LIT LUSTERNIK SCHNIR
[6]  
[Anonymous], 1966, Allyn and Bacon Series in Advanced Mathematics
[7]  
Berstein I., 1961, Il. J. Math, V5, P99
[8]   THE SCORPIONS - EXAMPLES IN STABLE NON COLLAPSIBILITY AND IN GEOMETRIC CATEGORY THEORY [J].
BRACHO, J ;
MONTEJANO, L .
TOPOLOGY, 1991, 30 (04) :541-550
[9]   THE GENERALIZED LUSTERNIK-SCHNIRELMANN CATEGORY OF A PRODUCT SPACE [J].
CLAPP, M ;
PUPPE, D .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1990, 321 (02) :525-532
[10]   LUSTERNIK-SCHNIRELMANN CATEGORY AND MINIMAL COVERINGS WITH CONTRACTILE SETS [J].
CLAPP, M ;
MONTEJANO, L .
MANUSCRIPTA MATHEMATICA, 1987, 58 (1-2) :37-45
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