Equivariant control data and neighborhood deformation retractions

Autor:	Pflaum, Markus J., Wilkin, Graeme
Rok vydání:	2017
Předmět:	Mathematics - Symplectic Geometry Mathematics - Algebraic Topology Mathematics - Differential Geometry Mathematics - Geometric Topology
Druh dokumentu:	Working Paper
Popis:	In this article we study Whitney (B) regular stratified spaces with the action of a compact Lie group $G$ which preserves the strata. We prove an equivariant submersion theorem and use it to show that such a $G$-stratified space carries a system of $G$-equivariant control data. As an application, we show that if $A \subset X$ is a closed $G$-stratified subspace which is a union of strata of $X$, then the inclusion $i : A \hookrightarrow X$ is a $G$-equivariant cofibration. In particular, this theorem applies whenever $X$ is a $G$-invariant analytic subspace of an analytic $G$-manifold $M$ and $A \hookrightarrow X$ is a closed $G$-invariant analytic subspace of $X$. Comment: 24 pages, to appear in Methods and Applications of Analysis
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1706.09539 Zobrazit plný text záznamu View this record from Arxiv