MARC Record from Harvard University

LEADER: 02860nam a22004455a 4500
001 013842085-8
005 20131206202719.0
008 121227s2001 gw | s ||0| 0|eng d
020 $a9783642564468
020 $a9783642564468
020 $a9783642630774
024 7 $a10.1007/978-3-642-56446-8$2doi
035 $a(Springer)9783642564468
040 $aSpringer
050 4 $aQA612-612.8
072 7 $aPBPD$2bicssc
072 7 $aMAT038000$2bisacsh
082 04 $a514.2$223
100 1 $aFadell, Edward R.,$d1926-$eauthor.
245 10 $aGeometry and Topology of Configuration Spaces /$cby Edward R. Fadell, Sufian Y. Husseini.
264 1 $aBerlin, Heidelberg :$bSpringer Berlin Heidelberg :$bImprint: Springer,$c2001.
300 $aXVI, 313 p.$bonline resource.
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
347 $atext file$bPDF$2rda
490 1 $aSpringer Monographs in Mathematics,$x1439-7382
505 0 $aPart 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.
520 $aThe 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.
650 20 $aAlgebraic topology.
650 10 $aMathematics.
650 0 $aMathematics.
650 0 $aGlobal analysis.
650 0 $aAlgebraic topology.
650 24 $aGlobal Analysis and Analysis on Manifolds.
700 1 $aHusseini, Sufian Y.,$eauthor.
776 08 $iPrinted edition:$z9783642630774
830 0 $aSpringer Monographs in Mathematics.
988 $a20131119
906 $0VEN