The Resource Geometry and Topology of Configuration Spaces, by Edward R. Fadell, Sufian Y. Husseini, (electronic resource)

Geometry and Topology of Configuration Spaces, by Edward R. Fadell, Sufian Y. Husseini, (electronic resource)

Label
Geometry and Topology of Configuration Spaces
Title
Geometry and Topology of Configuration Spaces
Statement of responsibility
by Edward R. Fadell, Sufian Y. Husseini
Creator
Contributor
Subject
Genre
Language
eng
Summary
The configuration space of a manifold provides the appropriate setting for problems not only in topology but also in other areas such as nonlinear analysis and algebra. With applications in mind, the aim of this monograph is to provide a coherent and thorough treatment of the configuration spaces of Eulidean spaces and spheres which makes the subject accessible to researchers and graduate students with a minimal background in classical homotopy theory and algebraic topology. The treatment regards the homotopy relations of Yang-Baxter type as being fundamental. It also includes a novel and geometric presentation of the classical pure braid group; the cellular structure of these configuration spaces which leads to a cellular model for the associated based and free loop spaces; the homology and cohomology of based and free loop spaces; and an illustration of how to apply the latter to the study of Hamiltonian systems of k-body type
Member of
Cataloging source
AU@
http://library.link/vocab/creatorDate
1926-
http://library.link/vocab/creatorName
Fadell, Edward R.
Dewey number
514.2
Index
no index present
LC call number
QA612-612.8
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
Husseini, Sufian Y
Series statement
Springer Monographs in Mathematics,
http://library.link/vocab/subjectName
  • Mathematics
  • Global analysis
  • Algebraic topology
Label
Geometry and Topology of Configuration Spaces, by Edward R. Fadell, Sufian Y. Husseini, (electronic resource)
Link
http://dx.doi.org/10.1007/978-3-642-56446-8
Instantiates
Publication
Antecedent source
file reproduced from original
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
mixed
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Part 1: The Homotopy of Configuration Spaces. Basic Fibrations. Configuration space of Euclidean Space. Configuration spaces on spheres. The two-dimensional case -- Part 2: The cohomology algebra of configuration spaces. Cellular models. Cellular chain models -- Part 3: The Homology of Based Loops. RPT-Constructions. Cellular chain algebra models. The Serre spectral sequence. Computation of the homology of the free loop space. Ends and Gamma category. An application to problems of k-body type
Dimensions
unknown
Extent
1 online resource (xvi, 313 pages).
File format
unknown
Form of item
online
Isbn
9783642564468
Isbn Type
(electronic bk.)
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-642-56446-8
Quality assurance targets
unknown
Reformatting quality
access
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)851779946
  • (OCoLC)ocn851779946
Label
Geometry and Topology of Configuration Spaces, by Edward R. Fadell, Sufian Y. Husseini, (electronic resource)
Link
http://dx.doi.org/10.1007/978-3-642-56446-8
Publication
Antecedent source
file reproduced from original
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
mixed
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Part 1: The Homotopy of Configuration Spaces. Basic Fibrations. Configuration space of Euclidean Space. Configuration spaces on spheres. The two-dimensional case -- Part 2: The cohomology algebra of configuration spaces. Cellular models. Cellular chain models -- Part 3: The Homology of Based Loops. RPT-Constructions. Cellular chain algebra models. The Serre spectral sequence. Computation of the homology of the free loop space. Ends and Gamma category. An application to problems of k-body type
Dimensions
unknown
Extent
1 online resource (xvi, 313 pages).
File format
unknown
Form of item
online
Isbn
9783642564468
Isbn Type
(electronic bk.)
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-642-56446-8
Quality assurance targets
unknown
Reformatting quality
access
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)851779946
  • (OCoLC)ocn851779946

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