LEADER 03695nam 2200577 450 001 9910820659203321 005 20220819054852.0 010 $a1-4704-1685-9 035 $a(CKB)3150000000020199 035 $a(EBL)3114282 035 $a(SSID)ssj0001234690 035 $a(PQKBManifestationID)11723331 035 $a(PQKBTitleCode)TC0001234690 035 $a(PQKBWorkID)11216227 035 $a(PQKB)10607218 035 $a(MiAaPQ)EBC3114282 035 $a(RPAM)17924667 035 $a(PPN)197102603 035 $a(EXLCZ)993150000000020199 100 $a20150416h20142014 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 13$aAn Alpine expedition through algebraic topology $efourth Arolla Conference Algebraic Topology August 20-25, 2012 Arolla, Switzerland /$fChristian Ausoni [and four others], editors 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2014. 210 4$dİ2014 215 $a1 online resource (296 p.) 225 1 $aContemporary mathematics,$x1098-3627 ;$v617$x0271-4132 300 $aDescription based upon print version of record. 311 $a0-8218-9145-6 320 $aIncludes bibliographical references at the end of each chapters. 327 $aPreface -- List of Conference Talks -- Some properties of the Thom spectrum over loop suspension of complex projective space -- Introduction -- 1. The Thom spectrum of -- 2. -(co)homology -- 3. A formal group law over _{*} -- 4. The splitting of into wedges of suspensions of -- 5. The real and the quaternionic cases -- 6. Associative versus commutative orientations -- Acknowledgements -- References -- Rational equivariant rigidity -- Introduction -- 1. Stable model categories and generators -- 2. Morita theory for stable model categories -- 3. Rational G-spectra and their endomorphism category -- 4. Rigidity for Finite and Profinite groups -- 5. S1-equivariant rigidity -- 6. Formality and Rigidity -- Acknowledgements -- References -- Homotopy colimits of model categories -- 1. Introduction -- 2. Preliminaries on complete Segal spaces -- 3. Working example: Homotopy pushouts -- 4. More general homotopy colimits -- References -- The cobordism category and Waldhausen's -theory -- 0. Introduction -- 1. Abstract transversality -- 2. Categories of embedded manifolds -- 3. Simplicial spaces -- 4. The Madsen-Weiss theorem as a relative h-principle -- Acknowledgement -- References -- Absolutely homotopy-cartesian squares -- 1. Statements of Results and Conjectures -- 2. Proof of Classification for Squares -- 3. Partial results for Conjecture 1.3 -- 4. An Absolutely Cocartesian and Cartesian 3-cube -- 5. Applications and Related Work -- References -- Koszul duality complexes for the cohomology of iterated loop spaces of spheres -- Introduction -- Background and general conventions -- 1. Koszul duality and operadic homology -- 2. Free complete algebras and duality. 410 0$aContemporary mathematics,$v617$x0271-4132 606 $aHomotopy theory$vCongresses 606 $aAlgebraic topology$vCongresses 607 $aBern (Switzerland) 615 0$aHomotopy theory 615 0$aAlgebraic topology 676 $a514/.2 686 $a18A25$a18G10$a19Dxx$a19L41$a20D99$a55Nxx$a55Pxx$a55Uxx$a57R50$2msc 702 $aAusoni$b Christian$f1968- 712 12$aArolla Conference on Algebraic Topology 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910820659203321 996 $aAn Alpine expedition through algebraic topology$93983746 997 $aUNINA