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TitleAlgebraic Topology Rational Homotopy [electronic resource] : Proceedings of a Conference held in Louvain-la-Neuve, Belgium, May 2-6, 1986 / edited by Yves Felix
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1988
Connect tohttp://dx.doi.org/10.1007/BFb0077790
Descript CCLVI, 246 p. online resource

SUMMARY

This proceedings volume centers on new developments in rational homotopy and on their influence on algebra and algebraic topology. Most of the papers are original research papers dealing with rational homotopy and tame homotopy, cyclic homology, Moore conjectures on the exponents of the homotopy groups of a finite CW-c-complex and homology of loop spaces. Of particular interest for specialists are papers on construction of the minimal model in tame theory and computation of the Lusternik-Schnirelmann category by means articles on Moore conjectures, on tame homotopy and on the properties of Poincarรฉ series of loop spaces


CONTENT

Recent progress in hilbert and poincare series -- Homotopies d'algรจbres de Lie et de leurs algรจbres enveloppantes -- Combinatorial homotopy -- Cyclic homology of commutative algebras I -- Cohomology of nilmanifolds -- A dual simplicial de rham complex -- Maps of BZ/pZ to BG -- Formalite d'une application et suite spectrale d'Eilenberg-Moore -- An euler-poincare characteristic for 1-connected spaces with noetherian rational cohomology -- Notions of category in differential algebra -- Sรฉries de poincarรฉ des modules multi-graduรฉs sur les anneaux monomiaux -- Un modele de sullivan en homotopie moderee -- Report on tame homotopy theory via differential forms -- La filtration nilpotente de la categorie ? et la cohomologie des espaces de lacets -- Moore conjectures -- Cohomological physics -- Cyclic homology and quillen homology of a commutative algebra


Mathematics Algebraic topology Mathematics Algebraic Topology



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