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Menger (Nobeling) manifolds versus Hilbert cube (space) manifolds - A categorical comparison
被引：1
作者：
Chigogidze, A
Fedorchuk, VV
机构：
[1] Univ Saskatchewan, Dept Math & Stat, Saskatoon, SK S7N 5E6, Canada
[2] Moscow State Univ, Fac Mech & Math, Chair Gen Topol & Geometry, Moscow 119899, Russia
来源：
MONATSHEFTE FUR MATHEMATIK
|
2000年
/
130卷
/
02期
关键词：
Menger manifold;
Hilbert cube manifold;
n-homotopy;
Postnikov functor;
D O I：
10.1007/s006050070039
中图分类号：
O1 [数学];
学科分类号：
0701 ;
070101 ;
摘要：
We show that the n-homotopy category MENG(n) of connected (n + 1)-dimensional Menger manifolds is isomorphic to the homotopy category HILBCn of connected Hilbert cube manifolds whose k-dimensional homotopy groups are trivial for each k greater than or equal to n + 1 . 1991 Mathematics Subject Classification: 57Q05; 55P65.
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页码：89 / 97
页数：9
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