Pawłucki, Wiesław 1955
Overview
Works:  7 works in 33 publications in 4 languages and 318 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Other, 958 
Classifications:  QA3, 516.35 
Publication Timeline
.
Most widely held works by
Wiesław Pawłucki
Points de Nash des ensembles sousanalytiques by
Wiesław Pawłucki(
Book
)
17 editions published between 1985 and 1990 in 4 languages and held by 230 WorldCat member libraries worldwide
17 editions published between 1985 and 1990 in 4 languages and held by 230 WorldCat member libraries worldwide
Singularities symposiumŁojasiewicz 70 by
Bronisław Jakubczyk(
Book
)
11 editions published in 1998 in English and held by 44 WorldCat member libraries worldwide
11 editions published in 1998 in English and held by 44 WorldCat member libraries worldwide
Differentiable functions defined on closed sets : a problem of Withney by
Edward Bierstone(
Book
)
1 edition published in 2001 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2001 in English and held by 2 WorldCat member libraries worldwide
Volume dedicated to the memory of Stanisław łojasiewicz(
Book
)
1 edition published in 2006 in Multiple languages and held by 1 WorldCat member library worldwide
1 edition published in 2006 in Multiple languages and held by 1 WorldCat member library worldwide
Differentiable functions defined on closed sets : a problem of Withney(
)
1 edition published in 2001 in English and held by 1 WorldCat member library worldwide
1 edition published in 2001 in English and held by 1 WorldCat member library worldwide
Subanalytic version of Whitney's extension theorem by
Krzysztof Kurdyka(
)
1 edition published in 1997 in English and held by 1 WorldCat member library worldwide
1 edition published in 1997 in English and held by 1 WorldCat member library worldwide
Structure métrique et géométrie des ensembles définissables dans des structures ominimales by
Xuan Viet Nhan Nguyen(
)
1 edition published in 2015 in English and held by 1 WorldCat member library worldwide
The thesis focus on study geometric properties of definable sets in ominimal structures and its applications. There are three main results presented in this thesis. The first is a geometric proof of the existence of Whitney (a) and (b)regular stratifications of definable sets. The result was initially proved by T. L. Loi in 1994 by using another method. The second is a proof of existence of Lipschitz stratifications (in the sense of Mostowski) of definable sets in a polynomially bounded ominimal structure. This is a generalization of Parusinski's 1994 result for subanalytic sets. The third result is about the continuity of of variations of integral geometry called local Lipschitz Killing curvatures which were introduced by A. Bernig and L. Broker in 2002. We prove that Lipschitz Killing curvatures are continuous along strata of Whiney stratifications of definable sets in a polynomially bounded ominimal structure. Moreover, if the stratifications are (w)regular the Lipspchitz Killing curvatures are locally Lipschitz
1 edition published in 2015 in English and held by 1 WorldCat member library worldwide
The thesis focus on study geometric properties of definable sets in ominimal structures and its applications. There are three main results presented in this thesis. The first is a geometric proof of the existence of Whitney (a) and (b)regular stratifications of definable sets. The result was initially proved by T. L. Loi in 1994 by using another method. The second is a proof of existence of Lipschitz stratifications (in the sense of Mostowski) of definable sets in a polynomially bounded ominimal structure. This is a generalization of Parusinski's 1994 result for subanalytic sets. The third result is about the continuity of of variations of integral geometry called local Lipschitz Killing curvatures which were introduced by A. Bernig and L. Broker in 2002. We prove that Lipschitz Killing curvatures are continuous along strata of Whiney stratifications of definable sets in a polynomially bounded ominimal structure. Moreover, if the stratifications are (w)regular the Lipspchitz Killing curvatures are locally Lipschitz
Audience Level
0 

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Kids  General  Special 
Related Identities
 Stasica, Jacek Other Editor
 Jakubczyk, Bronisław Other Author Editor
 Łojasiewicz, Stanisław Other Dedicatee
 Łojasiewicz Honoree
 Instytut Matematyczny (Polska Akademia Nauk)
 Bierstone, Edward Author
 Milman, Pierre D.
 American Mathematical Society
 Kurdyka, Krzysztof Author
 Stefan Banach International Mathematical Center
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