LEADER 03210nam 2200637 450 001 996466582503316 005 20220906112616.0 010 $a3-540-69135-9 024 7 $a10.1007/BFb0093736 035 $a(CKB)1000000000437351 035 $a(SSID)ssj0000326773 035 $a(PQKBManifestationID)12069600 035 $a(PQKBTitleCode)TC0000326773 035 $a(PQKBWorkID)10298040 035 $a(PQKB)11226440 035 $a(DE-He213)978-3-540-69135-8 035 $a(MiAaPQ)EBC5579483 035 $a(Au-PeEL)EBL5579483 035 $a(OCoLC)1066178450 035 $a(MiAaPQ)EBC6841911 035 $a(Au-PeEL)EBL6841911 035 $a(PPN)155198238 035 $a(EXLCZ)991000000000437351 100 $a20220906d1997 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aSpaces of homotopy self-equivalences $ea survey /$fJohn W. Rutter 205 $a1st ed. 1997. 210 1$aBerlin, Germany ;$aNew York, New York :$cSpringer,$d[1997] 210 4$dİ1997 215 $a1 online resource (X, 170 p.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1662 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-63103-8 320 $aIncludes bibliographical references (pages [138]-162) and index. 327 $aPreliminaries -- Building blocks -- Representations: homology and homotopy -- Surfaces -- Generators: surface, modular groups -- Manifolds of dimension three or more -- ?*(X) not finitely generated -- Localization -- ?*(X) finitely presented, nilpotent -- L-R duality -- Cellular/homology complexes: methods -- Cellular, homology complexes: calculations -- Non-1-connected postnikov: methods -- Homotopy systems, chain complexes -- Non-1-connected spaces: calculations -- Whitehead torsion, simple homotopy -- Unions and products -- Group theoretic properties -- Homotopy type, homotopy groups -- Homotopy automorphisms of H-spaces -- Fibre and equivariant HE?s -- Applications. 330 $aThis survey covers groups of homotopy self-equivalence classes of topological spaces, and the homotopy type of spaces of homotopy self-equivalences. For manifolds, the full group of equivalences and the mapping class group are compared, as are the corresponding spaces. Included are methods of calculation, numerous calculations, finite generation results, Whitehead torsion and other areas. Some 330 references are given. The book assumes familiarity with cell complexes, homology and homotopy. Graduate students and established researchers can use it for learning, for reference, and to determine the current state of knowledge. 410 0$aLecture notes in mathematics (Springer-Verlag) ;$v1662. 606 $aHomotopy groups 606 $aHomotopy equivalences 606 $aH-spaces 615 0$aHomotopy groups. 615 0$aHomotopy equivalences. 615 0$aH-spaces. 676 $a510 700 $aRutter$b John W.$f1935-$061604 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466582503316 996 $aSpaces of homotopy self-equivalences$978826 997 $aUNISA