EXPONENTIALS OF NON-SINGULAR SIMPLICIAL SETS

被引：0
|
作者：
Fjellbo, Vegard [1 ]
Rognes, John [1 ]
机构：
[1] Univ Oslo, Dept Math, POB 1053, NO-0316 Oslo, Norway
来源：
HOMOLOGY HOMOTOPY AND APPLICATIONS | 2022年 / 24卷 / 02期
关键词：
non-singular simplicial set; exponential ideal; cartesian closed category;
D O I：
10.4310/HHA.2022.v24.n2.a15
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A simplicial set is non-singular if the representing map of each non-degenerate simplex is degreewise injective. The simplicial mapping set X-K has n-simplices given by the simplicial maps Delta[n] x K -> X. We prove that X-K is non-singular whenever X is non-singular. It follows that non-singular simplicial sets form a cartesian closed category with all limits and colimits, but it is not a topos.
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收藏
页码：307 / 314
页数：8
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