与二维简单复数相关的矩角复数的环空间分解

Lewis Stanton
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引用次数: 0

摘要

我们证明,与$2$维简单复数相关联的矩角复数的环空间分解为球体、球上环和某些不可分解空间的有限类型积,这些空间出现在摩尔空间的环空间分解中。我们还给出了某些子复数的条件,在这些条件下,远离足够多素数的局部,矩角复数的环空间分解为球体和球上环的有限类型积。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Loop space decompositions of moment-angle complexes associated to two dimensional simplicial complexes
We show that the loop space of a moment-angle complex associated to a $2$-dimensional simplicial complex decomposes as a finite type product of spheres, loops on spheres, and certain indecomposable spaces which appear in the loop space decomposition of Moore spaces. We also give conditions on certain subcomplexes under which, localised away from sufficiently many primes, the loop space of a moment-angle complex decomposes as a finite type product of spheres and loops on spheres.
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