The Resource Analytic and geometric study of stratified spaces, Markus J. Pflaum

Analytic and geometric study of stratified spaces, Markus J. Pflaum

Label
Analytic and geometric study of stratified spaces
Title
Analytic and geometric study of stratified spaces
Statement of responsibility
Markus J. Pflaum
Creator
Subject
Genre
Language
eng
Summary
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
Member of
Cataloging source
COO
http://library.link/vocab/creatorName
Pflaum, M.
Dewey number
  • 510 s
  • 516.3/6
Illustrations
illustrations
Index
index present
LC call number
  • QA3
  • QA614.42
LC item number
.L28 no. 1768
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Lecture notes in mathematics,
Series volume
1768
http://library.link/vocab/subjectName
  • Stratified sets
  • Differentiable manifolds
Label
Analytic and geometric study of stratified spaces, Markus J. Pflaum
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/3-540-45436-5
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 215-226) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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 Khler differentials -- c Jets, Whitney functions and a few C^/infty-mappings.-
Dimensions
unknown
Extent
1 online resource (viii, 230 pages)
Form of item
online
Isbn
9783540454366
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Note
SpringerLink
Other physical details
illustrations
Specific material designation
remote
System control number
  • (OCoLC)50031939
  • (OCoLC)ocm50031939
Label
Analytic and geometric study of stratified spaces, Markus J. Pflaum
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/3-540-45436-5
Publication
Bibliography note
Includes bibliographical references (pages 215-226) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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 Khler differentials -- c Jets, Whitney functions and a few C^/infty-mappings.-
Dimensions
unknown
Extent
1 online resource (viii, 230 pages)
Form of item
online
Isbn
9783540454366
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Note
SpringerLink
Other physical details
illustrations
Specific material designation
remote
System control number
  • (OCoLC)50031939
  • (OCoLC)ocm50031939

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