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Menger (Nöbeling) Manifolds versus Hilbert Cube (Space) Manifolds – A Categorical Comparison
被引：0
作者：
Alex Chigogidze
V. V. Fedorchuk
机构：
[1] University of Saskatchewan,
[2] Saskatoon,undefined
[3] SK,undefined
[4] Canada,undefined
[5] Moscow State University,undefined
[6] Russia,undefined
来源：
Monatshefte für Mathematik
|
2000年
/
130卷
关键词：
1991 Mathematics Subject Classification: 57Q05; 55P65;
Key words: Menger manifold;
Hilbert cube manifold;
n-homotopy;
Postnikov functor;
D O I：
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中图分类号：
学科分类号：
摘要：
We show that the n-homotopy category \documentclass[12pt]{minimal}
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\begin{document}\end{document} of connected (n+1)-dimensional Menger manifolds is isomorphic to the homotopy category \documentclass[12pt]{minimal}
\usepackage{amsmath}
\usepackage{wasysym}
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\usepackage{amssymb}
\usepackage{amsbsy}
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\usepackage{upgreek}
\setlength{\oddsidemargin}{-69pt}
\begin{document}\end{document} of connected Hilbert cube manifolds whose k-dimensional homotopy groups are trivial for each \documentclass[12pt]{minimal}
\usepackage{amsmath}
\usepackage{wasysym}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsbsy}
\usepackage{mathrsfs}
\usepackage{upgreek}
\setlength{\oddsidemargin}{-69pt}
\begin{document}\end{document}.
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页码：89 / 97
页数：8
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