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- catalog abstract "The book provides an introduction to stratification theory leading the reader up to modern research topics in the field. The first part presents the basics of stratification theory, in particular the Whitney conditions and Mather's control theory, and introduces the notion of a smooth structure. Moreover, it explains how one can use smooth structures to transfer differential geometric and analytic methods from the arena of manifolds to stratified spaces. In the second part the methods established in the first part are applied to particular classes of stratified spaces like for example orbit spaces. Then a new de Rham theory for stratified spaces is established and finally the Hochschild (co)homology theory of smooth functions on certain classes of stratified spaces is studied. The book should be accessible to readers acquainted with the basics of topology, analysis and differential geometry.".
- catalog contributor b12327126.
- catalog created "c2001.".
- catalog date "2001".
- catalog date "c2001.".
- catalog dateCopyrighted "c2001.".
- catalog description "Includes bibliographical references (p. [213]-226) and index.".
- catalog description "Introduction -- Notation -- Stratified Spaces and Functional Structures -- Differential Geometric Objects on Singular Spaces -- Control Theory -- Orbit Spaces -- DeRham-Cohomology -- Homology of Algebras of Smooth Functions -- A Supplements from linear algebra and functional analysis -- B Kähler differentials -- c Jets, Whitney functions and a few C /infty-mappings.-.".
- catalog description "The book provides an introduction to stratification theory leading the reader up to modern research topics in the field. The first part presents the basics of stratification theory, in particular the Whitney conditions and Mather's control theory, and introduces the notion of a smooth structure. Moreover, it explains how one can use smooth structures to transfer differential geometric and analytic methods from the arena of manifolds to stratified spaces. In the second part the methods established in the first part are applied to particular classes of stratified spaces like for example orbit spaces. Then a new de Rham theory for stratified spaces is established and finally the Hochschild (co)homology theory of smooth functions on certain classes of stratified spaces is studied. The book should be accessible to readers acquainted with the basics of topology, analysis and differential geometry.".
- catalog extent "viii, 230 p. :".
- catalog hasFormat "Also available in an electronic version.".
- catalog identifier "3540426264 (pbk. : alk. paper)".
- catalog isFormatOf "Also available in an electronic version.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1768.".
- catalog isPartOf "Lecture notes in mathematics, 0075-8434 ; 1768".
- catalog issued "2001".
- catalog issued "c2001.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer,".
- catalog relation "Also available in an electronic version.".
- catalog subject "510 s 516.3/6 21".
- catalog subject "Differentiable manifolds.".
- catalog subject "Global analysis (Mathematics)".
- catalog subject "Mathematics.".
- catalog subject "QA3.L28 no. 1768 QA614.42".
- catalog subject "Stratified sets.".
- catalog tableOfContents "Introduction -- Notation -- Stratified Spaces and Functional Structures -- Differential Geometric Objects on Singular Spaces -- Control Theory -- Orbit Spaces -- DeRham-Cohomology -- Homology of Algebras of Smooth Functions -- A Supplements from linear algebra and functional analysis -- B Kähler differentials -- c Jets, Whitney functions and a few C /infty-mappings.-.".
- catalog title "Analytic and geometric study of stratified spaces / Markus J. Pflaum.".
- catalog type "Computer network resources. local".
- catalog type "Electronic books. lcsh".
- catalog type "text".