LEADER 04404nam 2200673Ia 450 001 9910461886603321 005 20211104002900.0 010 $a3-11-085448-1 024 7 $a10.1515/9783110854480 035 $a(CKB)2670000000251844 035 $a(EBL)936323 035 $a(OCoLC)843635405 035 $a(SSID)ssj0000559631 035 $a(PQKBManifestationID)11356349 035 $a(PQKBTitleCode)TC0000559631 035 $a(PQKBWorkID)10567520 035 $a(PQKB)11436912 035 $a(MiAaPQ)EBC936323 035 $a(WaSeSS)Ind00009538 035 $a(DE-B1597)54807 035 $a(OCoLC)979955418 035 $a(DE-B1597)9783110854480 035 $a(Au-PeEL)EBL936323 035 $a(CaPaEBR)ebr10599436 035 $a(EXLCZ)992670000000251844 100 $a19901107d1991 uy 0 101 0 $aeng 135 $aurnn#---|u||u 181 $ctxt 182 $cc 183 $acr 200 10$aCombinatorial homotopy and 4-dimensional complexes$b[electronic resource] /$fby Hans Joachim Baues 205 $aReprint 2011 210 $aBerlin ;$aNew York $cW. de Gruyter$d1991 215 $a1 online resource (408 p.) 225 0 $aDe Gruyter Expositions in Mathematics ;$v2 300 $aDescription based upon print version of record. 311 0 $a3-11-012488-2 320 $aIncludes bibliographical references (p. [369]-372) and index. 327 $tFront matter --$tChapter I. Homotopy, homology, and Whitehead's classification of simply connected 4-dimensional CW-complexes --$tChapter II. The CW-tower of categories --$tChapter III. Crossed modules and homotopy systems of order 3 --$tChapter IV. Quadratic modules and homotopy systems of order 4. § 1 Quadratic modules --$tChapter IV. Quadratic modules and homotopy systems of order 4. § 2 Free quadratic modules --$tChapter IV. Quadratic modules and homotopy systems of order 4. § 3 Quadratic chain complexes --$tChapter IV. Quadratic modules and homotopy systems of order 4. § 4 Homotopies for quadratic chain maps --$tChapter IV. Quadratic modules and homotopy systems of order 4. § 5 Cofibrations in the category of quadratic chain complexes --$tChapter IV. Quadratic modules and homotopy systems of order 4. § 6 The secondary homotopy addition lemma and a model functor from spaces to quadratic chain complexes --$tChapter IV. Quadratic modules and homotopy systems of order 4. § 7 Homotopy systems of order 4 --$tChapter IV. Quadratic modules and homotopy systems of order 4. § 8 The homotopy category of 3-dimensional CW-complexes --$tChapter IV. Quadratic modules and homotopy systems of order 4. § 9 The CW-tower in degree ? 4 --$tChapter IV. Quadratic modules and homotopy systems of order 4. § 10 The homotopy category of 3-types --$tChapter IV. Quadratic modules and homotopy systems of order 4. § 11 The action of the fundamental group for quadratic chain complexes --$tChapter IV. Quadratic modules and homotopy systems of order 4. § 12 The quadratic chain complex of a product --$tChapter IV. Quadratic modules and homotopy systems of order 4. Appendix A. Some diverse examples and applications of quadratic chain complexes --$tChapter IV. Quadratic modules and homotopy systems of order 4. Appendix B. Quadratic chain complexes and simplicial groups --$tChapter IV. Quadratic modules and homotopy systems of order 4. Appendix C. Reduced and stable quadratic modules --$tChapter IV. Quadratic modules and homotopy systems of order 4. Appendix D. On the homotopy classification of semi free group actions --$tChapter V. Cohomological invariants --$tChapter VI. The cohomology of categories and the calculus of tracks --$tBibliography --$tList of Symbols --$tIndex 330 $aCombinatorial Homotopy and 4-Dimensional Complexes (Architektur Auf Naxos Und Paros) 410 3$aDe Gruyter Expositions in Mathematics 606 $aCombinatorial topology 606 $aCW complexes 606 $aHomotopy theory 608 $aElectronic books. 615 0$aCombinatorial topology. 615 0$aCW complexes. 615 0$aHomotopy theory. 676 $a514/.24 700 $aBaues$b Hans J.$f1943-$054336 701 $aBrown$b Ronald$01026750 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910461886603321 996 $aCombinatorial homotopy and 4-dimensional complexes$92441851 997 $aUNINA