LEADER 03165nam 22006015 450 001 9910144597903321 005 20251117003212.0 010 $a3-540-45436-5 024 7 $a10.1007/3-540-45436-5 035 $a(CKB)1000000000233219 035 $a(SSID)ssj0000321274 035 $a(PQKBManifestationID)11246322 035 $a(PQKBTitleCode)TC0000321274 035 $a(PQKBWorkID)10263533 035 $a(PQKB)10398499 035 $a(DE-He213)978-3-540-45436-6 035 $a(MiAaPQ)EBC3071763 035 $a(PPN)155222244 035 $a(BIP)13638521 035 $a(BIP)7367965 035 $a(EXLCZ)991000000000233219 100 $a20121227d2001 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aAnalytic and Geometric Study of Stratified Spaces $eContributions to Analytic and Geometric Aspects /$fby Markus J. Pflaum 205 $a1st ed. 2001. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2001. 215 $a1 online resource (X, 234 p.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1768 300 $aBibliographic Level Mode of Issuance: Monograph 311 08$a3-540-42626-4 327 $aIntoduction -- Notation -- Stratified Spaces and Functional Structures -- Differential Geometric Objects on Singular Spaces -- Control Theory -- Orbit Spaces -- DeRham-Cohomology -- Homology of Algebras of Smooth Functions. 330 $aThe book provides an introduction to stratification theory leading the reader up to modern research topics in the field. The first part presents the basics of stratification theory, in particular the Whitney conditions and Mather's control theory, and introduces the notion of a smooth structure. Moreover, it explains how one can use smooth structures to transfer differential geometric and analytic methods from the arena of manifolds to stratified spaces. In the second part the methods established in the first part are applied to particular classes of stratified spaces like for example orbit spaces. Then a new de Rham theory for stratified spaces is established and finally the Hochschild (co)homology theory of smooth functions on certain classes of stratified spaces is studied. The book should be accessible to readers acquainted with the basics of topology, analysis and differential geometry. 410 0$aLecture Notes in Mathematics,$x0075-8434 ;$v1768 606 $aGlobal analysis (Mathematics) 606 $aManifolds (Mathematics) 606 $aGlobal Analysis and Analysis on Manifolds$3https://scigraph.springernature.com/ontologies/product-market-codes/M12082 615 0$aGlobal analysis (Mathematics) 615 0$aManifolds (Mathematics) 615 14$aGlobal Analysis and Analysis on Manifolds. 676 $a510 s 676 $a516.3/6 700 $aPflaum$b Markus J$4aut$4http://id.loc.gov/vocabulary/relators/aut$066354 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910144597903321 996 $aAnalytic and geometric study of stratified spaces$9262197 997 $aUNINA