Cubical structures, homotopy theory

被引：0
|
作者：
Antolini R. [1 ]
机构：
[1] Dipartimento di Matematica, Seconda Université Degli Studi di Roma Tor Vergata, 00133 Roma, Via della Ricerca Scientifica
来源：
Annali di Matematica Pura ed Applicata | 2000年 / 178卷 / 1期
关键词：
Topological Space; Homotopy Type; Homotopy Group; Homotopy Theory; Forgetful Functor;
D O I：
10.1007/BF02505901
中图分类号：
学科分类号：
摘要：
We investigate the categories of semi-cubical complexes with or loithout degeneracies. We prove that the Kan condition does not imply that a semi-cubical complex admits degeneracies and that, unlike the simplicial case, there is no cubical approximation theorem while we prove such a theorem for semi-cubical complexes with degeracies.
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页码：317 / 324
页数：7
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