Algebra, Algebraic Topology and their Interactions: - download pdf or read online

By Jan-Erik Roos

ISBN-10: 3540164537

ISBN-13: 9783540164531

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Pure Math. (17), Amer. Math. Soc. 1970, 65-87. -E. Roos, Relations between the Poincar~-Betti series of loop spaces and of local rings, Lecture Notes in Math. 740, 285-322, Springer Verlag, Berlin 1979. [Sj] G. SjSdin, Hopf algebras and derivations, J. Algebra 64 (1980), 218-229. [Su] D. Sullivan, Infinitesimal computations in topology, Publ. Math. IHES 47 (1978), 269-331. [~] J. Tate, Homology of noetherian rings and local rings, Illinois J. Math. 1 (1957), 14-27. [w] G. Whitehead, Elements of Homotopy Theory, Springer Verlag, 1981.

Whitehead, Elements of Homotopy Theory, Springer Verlag, 1981. L. Avramov Institute of Mathematics University of Sofia ul. "Akad. G. Bon~ev" BI. 8 1113 Sofia, Bulgaria S, Halperin Department of Mathematics University of Toronto Toronto Canada M5S IAI HILBERT SERIES OF FINITELY PRESENTED ALGEBRAS by David A-NICK and Clas LOFWALL Summary Let / denote the collection of all Hilbert connected graded algebras over a field This paper addresses series of finitely presented k . What can we say about the s e t / ?

B} ~ B Im E is the pushout then the homotopy pushout rings the homotopy fibre is usually a genuine . and take the pull-back should be clear. The inclusion of an Thus the fibre of a free extension The fact that algebra. in one of two ways: (ii) received theorem homological b . More generally, is any It is for rings and spaces. 7 spaces. theorems between commutative have the same homotopy represents the homotopy fibre. the homotopy fibre. type plays an important role some theorems. 8 The Serre spectral and B sequence.

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Algebra, Algebraic Topology and their Interactions: Proceedings of a Conference held in Stockholm, Aug. 3 - 13, 1983, and later developments by Jan-Erik Roos


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