THICK SPANIER GROUPS AND THE FIRST SHAPE GROUP

被引：16

作者：

Brazas, Jeremy ^{[1
]}

Fabel, Paul ^{[2
]}

机构：

[1] Georgia State Univ, Dept Math & Stat, Atlanta, GA 30303 USA

[2] Mississippi State Univ, Dept Math & Stat, Mississippi State, MS 39762 USA

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2014年 / 44卷 / 05期

关键词：

ONE-DIMENSIONAL SPACES; FUNDAMENTAL-GROUPS;

D O I：

10.1216/RMJ-2014-44-5-1415

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We develop a new route through which to explore ker Psi X , the kernel of the pi(1)-shape group homomorphism determined by a general space X , and establish, for each locally path connected, paracompact Hausdorff space X , ker Psi X is precisely the Spanier group of X.

引用

页码：1415 / 1444

页数：30

共 22 条

[11] On the fundamental groups of trees of manifolds
Fischer, H
Guilbault, CR
[J]. PACIFIC JOURNAL OF MATHEMATICS, 2005, 221 (01) : 49 - 79
[12] Generalized universal covering spaces and the shape group
Fischer, Hanspeter
Zastrow, Andreas
[J]. FUNDAMENTA MATHEMATICAE, 2007, 197 : 167 - 196
[13] The fundamental groups of subsets of closed surfaces inject in to their first shape groups
Fischer, Hanspeter
Zastrow, Andreas
[J]. ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2005, 5 : 1655 - 1676
[14] On semilocally simply connected spaces
Fischer, Hanspeter
Repovs, Dusan
Virk, Ziga
Zastrow, Andreas
[J]. TOPOLOGY AND ITS APPLICATIONS, 2011, 158 (03) : 397 - 408
[15] WHAT IS THE FUNDAMENTAL GROUP
KENNISON, JF
[J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 1989, 59 (02) : 187 - 200
[16] Mardesic S., 1982, SHAPE THEORY
[17] Mashayekhy B., PREPRINT
[18] Steenrod homotopy
Melikhov, S. A.
[J]. RUSSIAN MATHEMATICAL SURVEYS, 2009, 64 (03) : 469 - 551
[19] Munkres J., 1984, Elements of algebraic topology, V1
[20] Spanier E.H., 1994, ALGEBRAIC TOPOLOGY, DOI 10.1007/978-1-4684-9322-1

← 1 2 3 →