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Whitney stratifications and the continuity of local Lipschitz-Killing curvatures (Stratifications de Whitney et la continuité des courbures Lipschitz-Killing locales)

2018
journal article
article
10.5802/aif.3208
Journal
Annales de l’Institut Fourier
30
Author
Nguyen Nhan

Valette Guillaume
Volume
68
Number
5
Pages
2253-2276
ISSN
0373-0956
eISSN
1777-5310
Language
English
Journal language
English
Abstract in English

In the paper we prove that the local Lipschitz-Killing curvatures of a definable set in a polynomially bounded o-minimal structure are continuous along the strata of a Whitney stratification. Moreover, if the stratification is - regular the local Lipschitz-Killing curvatures are locally Lipschitz in any o-minimal structure.

Affiliation
Wydział Matematyki i Informatyki : Instytut Matematyki
Scopus© citations
7
dc.abstract.enIn the paper we prove that the local Lipschitz-Killing curvatures of a definable set in a polynomially bounded o-minimal structure are continuous along the strata of a Whitney stratification. Moreover, if the stratification is $\left ( w \right )$ - regular the local Lipschitz-Killing curvatures are locally Lipschitz in any o-minimal structure.pl
dc.affiliationWydział Matematyki i Informatyki : Instytut Matematykipl
dc.contributor.authorNguyen, Nhanpl
dc.contributor.authorValette, Guillaume - 242684 pl
dc.date.accessioned2019-02-15T09:03:02Z
dc.date.available2019-02-15T09:03:02Z
dc.date.issued2018pl
dc.date.openaccess0
dc.description.accesstimew momencie opublikowania
dc.description.number5pl
dc.description.physical2253-2276pl
dc.description.versionostateczna wersja wydawcy
dc.description.volume68pl
dc.identifier.doi10.5802/aif.3208pl
dc.identifier.eissn1777-5310pl
dc.identifier.issn0373-0956pl
dc.identifier.projectROD UJ / OPpl
dc.identifier.urihttps://ruj.uj.edu.pl/xmlui/handle/item/68451
dc.languageengpl
dc.language.containerengpl
dc.rightsUdzielam licencji. Uznanie autorstwa - Bez utworów zależnych 3.0 Polska
dc.rights.licenceCC-BY-ND
dc.rights.simpleviewWolny dostęp
dc.rights.urihttps://creativecommons.org/licenses/by-nd/3.0/pl/legalcode.pl
dc.share.typeotwarte czasopismo
dc.subtypeArticlepl
dc.titleWhitney stratifications and the continuity of local Lipschitz-Killing curvatures (Stratifications de Whitney et la continuité des courbures Lipschitz-Killing locales)pl
dc.title.journalAnnales de l’Institut Fourierpl
dc.typeJournalArticlepl
dspace.entity.typePublication
dc.abstract.enpl
In the paper we prove that the local Lipschitz-Killing curvatures of a definable set in a polynomially bounded o-minimal structure are continuous along the strata of a Whitney stratification. Moreover, if the stratification is $\left ( w \right )$ - regular the local Lipschitz-Killing curvatures are locally Lipschitz in any o-minimal structure.
dc.affiliationpl
Wydział Matematyki i Informatyki : Instytut Matematyki
dc.contributor.authorpl
Nguyen, Nhan
dc.contributor.authorpl
Valette, Guillaume - 242684
dc.date.accessioned
2019-02-15T09:03:02Z
dc.date.available
2019-02-15T09:03:02Z
dc.date.issuedpl
2018
dc.date.openaccess
0
dc.description.accesstime
w momencie opublikowania
dc.description.numberpl
5
dc.description.physicalpl
2253-2276
dc.description.version
ostateczna wersja wydawcy
dc.description.volumepl
68
dc.identifier.doipl
10.5802/aif.3208
dc.identifier.eissnpl
1777-5310
dc.identifier.issnpl
0373-0956
dc.identifier.projectpl
ROD UJ / OP
dc.identifier.uri
https://ruj.uj.edu.pl/xmlui/handle/item/68451
dc.languagepl
eng
dc.language.containerpl
eng
dc.rights
Udzielam licencji. Uznanie autorstwa - Bez utworów zależnych 3.0 Polska
dc.rights.licence
CC-BY-ND
dc.rights.simpleview
Wolny dostęp
dc.rights.uri
https://creativecommons.org/licenses/by-nd/3.0/pl/legalcode.pl
dc.share.type
otwarte czasopismo
dc.subtypepl
Article
dc.titlepl
Whitney stratifications and the continuity of local Lipschitz-Killing curvatures (Stratifications de Whitney et la continuité des courbures Lipschitz-Killing locales)
dc.title.journalpl
Annales de l’Institut Fourier
dc.typepl
JournalArticle
dspace.entity.type
Publication
Affiliations
Wydział Matematyki i Informatyki
Valette, Guillaume
No affiliation
Nguyen, Nhan

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