Wilkin, Graeme Peter Desmond and Pflaum, Markus (2019) Equivariant control data and neighbourhood deformation retractions. Methods and Applications of Analysis. pp. 13-36. ISSN 1073-2772
Abstract
n 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⊂X is a closed G-stratified subspace which is a union of strata of X, then the inclusion i:A↪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↪X is a closed G-invariant analytic subspace of X.
Metadata
Authors/Creators: |
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Copyright, Publisher and Additional Information: | This is an author-produced version of the published paper. Uploaded in accordance with the publisher’s self-archiving policy. Further copying may not be permitted; contact the publisher for details. |
Dates: |
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Institution: | The University of York |
Academic Units: | The University of York > Faculty of Sciences (York) > Mathematics (York) |
Depositing User: | Pure (York) |
Date Deposited: | 23 Apr 2020 09:20 |
Last Modified: | 06 Dec 2023 13:39 |
Published Version: | https://doi.org/10.4310/MAA.2019.v26.n1.a2 |
Status: | Published |
Refereed: | Yes |
Identification Number: | https://doi.org/10.4310/MAA.2019.v26.n1.a2 |