04398nam 2200673Ia 450 991081599510332120230331011303.03-11-085448-110.1515/9783110854480(CKB)2670000000251844(EBL)936323(OCoLC)843635405(SSID)ssj0000559631(PQKBManifestationID)11356349(PQKBTitleCode)TC0000559631(PQKBWorkID)10567520(PQKB)11436912(MiAaPQ)EBC936323(WaSeSS)Ind00009538(DE-B1597)54807(OCoLC)979955418(DE-B1597)9783110854480(Au-PeEL)EBL936323(CaPaEBR)ebr10599436(EXLCZ)99267000000025184419901107d1991 uy 0engurnn#---|u||utxtccrCombinatorial homotopy and 4-dimensional complexes[electronic resource] /by Hans Joachim BauesReprint 2011Berlin ;New York W. de Gruyter19911 online resource (408 p.)De Gruyter Expositions in Mathematics ;2Description based upon print version of record.3-11-012488-2 Includes bibliographical references (p. [369]-372) and index.Front matter --Chapter I. Homotopy, homology, and Whitehead's classification of simply connected 4-dimensional CW-complexes --Chapter II. The CW-tower of categories --Chapter III. Crossed modules and homotopy systems of order 3 --Chapter IV. Quadratic modules and homotopy systems of order 4. § 1 Quadratic modules --Chapter IV. Quadratic modules and homotopy systems of order 4. § 2 Free quadratic modules --Chapter IV. Quadratic modules and homotopy systems of order 4. § 3 Quadratic chain complexes --Chapter IV. Quadratic modules and homotopy systems of order 4. § 4 Homotopies for quadratic chain maps --Chapter IV. Quadratic modules and homotopy systems of order 4. § 5 Cofibrations in the category of quadratic chain complexes --Chapter 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 --Chapter IV. Quadratic modules and homotopy systems of order 4. § 7 Homotopy systems of order 4 --Chapter IV. Quadratic modules and homotopy systems of order 4. § 8 The homotopy category of 3-dimensional CW-complexes --Chapter IV. Quadratic modules and homotopy systems of order 4. § 9 The CW-tower in degree ≤ 4 --Chapter IV. Quadratic modules and homotopy systems of order 4. § 10 The homotopy category of 3-types --Chapter IV. Quadratic modules and homotopy systems of order 4. § 11 The action of the fundamental group for quadratic chain complexes --Chapter IV. Quadratic modules and homotopy systems of order 4. § 12 The quadratic chain complex of a product --Chapter IV. Quadratic modules and homotopy systems of order 4. Appendix A. Some diverse examples and applications of quadratic chain complexes --Chapter IV. Quadratic modules and homotopy systems of order 4. Appendix B. Quadratic chain complexes and simplicial groups --Chapter IV. Quadratic modules and homotopy systems of order 4. Appendix C. Reduced and stable quadratic modules --Chapter IV. Quadratic modules and homotopy systems of order 4. Appendix D. On the homotopy classification of semi free group actions --Chapter V. Cohomological invariants --Chapter VI. The cohomology of categories and the calculus of tracks --Bibliography --List of Symbols --IndexCombinatorial Homotopy and 4-Dimensional Complexes (Architektur Auf Naxos Und Paros)De Gruyter Expositions in MathematicsCombinatorial topologyCW complexesHomotopy theoryCombinatorial topology.CW complexes.Homotopy theory.514/.24SK 300rvkBaues Hans J.1943-54336Brown Ronald1026750MiAaPQMiAaPQMiAaPQBOOK9910815995103321Combinatorial homotopy and 4-dimensional complexes3932513UNINA