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Infinitesimal Lipschitz Equisingularity: Genericity and Necessity Gaffney, Terence
Description
In earlier work we used the double of an ideal to define in integral closure terms a notion of infinitesimal Lipschitz equisingularity for hypersurfaces. We describe different ways of extending this notion to general spaces, and show the most restrictive version is a generic condition. We then show that this condition is necessary for strong bi-Lipschitz equisingularity, a notion due to Fernandes and Ruas. Hence our condition gives a necessary condition for a smooth subset of an analytic set to be a stratum in a Mostowski stratification of the set.Â
Item Metadata
Title |
Infinitesimal Lipschitz Equisingularity: Genericity and Necessity
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2018-10-24T09:02
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Description |
In earlier work we used the double of an ideal to define in integral closure terms a notion of infinitesimal Lipschitz equisingularity for hypersurfaces. We describe different ways of extending this notion to general spaces, and show the most restrictive version is a generic condition. We then show that this condition is necessary for strong bi-Lipschitz equisingularity, a notion due to Fernandes and Ruas. Hence our condition gives a necessary condition for a smooth subset of an analytic set to be a stratum in a Mostowski stratification of the set.Â
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Extent |
58.0
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Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Northeastern University
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Series | |
Date Available |
2019-04-23
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0378348
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Faculty
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International