惠特尼分层呈圆锥形光滑

IF 1.2 2区 数学 Q1 MATHEMATICS
Guglielmo Nocera, Marco Volpe
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引用次数: 7

摘要

摘要:Ayala, Francis和Tanaka在分层空间上引入了圆锥形光滑结构的概念。这是一种在分层拓扑空间中表现良好的微分结构的模拟,满足诸如奇点分辨率和柄体分解的存在性等良好性质。本文证明了Ayala, Francis和Tanaka关于任何Whitney分层空间都存在正则圆锥光滑结构的猜想。我们由此建立了圆锥光滑空间理论与微分拓扑中分层空间的经典例子之间的联系。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Whitney stratifications are conically smooth

Whitney stratifications are conically smooth
Abstract The notion of conically smooth structure on a stratified space was introduced by Ayala, Francis and Tanaka. This is a very well behaved analogue of a differential structure in the context of stratified topological spaces, satisfying good properties such as the existence of resolutions of singularities and handlebody decompositions. In this paper we prove Ayala, Francis and Tanaka’s conjecture that any Whitney stratified space admits a canonical conically smooth structure. We thus establish a connection between the theory of conically smooth spaces and the classical examples of stratified spaces from differential topology.
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来源期刊
CiteScore
2.30
自引率
7.10%
发文量
68
审稿时长
>12 weeks
期刊介绍: Selecta Mathematica, New Series is a peer-reviewed journal addressed to a wide mathematical audience. It accepts well-written high quality papers in all areas of pure mathematics, and selected areas of applied mathematics. The journal especially encourages submission of papers which have the potential of opening new perspectives.
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