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
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.
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页码:1415 / 1444
页数:30
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