Genera of the Torsion-Free Polyhedra

被引：0
|
作者：
P. O. Kolesnyk
机构：
[1] Ukrainian National Academy of Sciences,Institute of Mathematics
来源：
Ukrainian Mathematical Journal | 2014年 / 65卷
关键词：
Isomorphism Class; Nilpotent Radical; Full Subcategory; Double Coset; Homotopy Category;
D O I：
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中图分类号：
学科分类号：
摘要：
We study the genera of polyhedra (finite cell complexes), i.e., the classes of polyhedra such that all their localizations are stably homotopically equivalent. More precisely, we describe the genera of the torsion-free polyhedra of dimensions not greater than 11. In particular, we find the number of stable homotopy classes in these genera.
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页码：1479 / 1489
页数：10
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