Download E-books Interactions between homotopy and algebra : Summer School on Interactions between Homotopy Theory and Algebra, University of Chicago, July 26-August 6, 2004, Chicago, Illinois PDF

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By Avramov L., et al. (eds.)

The authors current introductory fabric in algebraic topology from a singular perspective in utilizing a homotopy-theoretic technique. This rigorously written ebook should be learn by means of any pupil who understands a few topology, offering an invaluable approach to quick study this novel homotopy-theoretic standpoint of algebraic topology Introductory lecture sequence: version different types and simplical tools / Paul Goerss and Kristen Schemmerhorn -- Lectures on neighborhood cohomology / Craig Huneke and (Appendix 1 through Amelia Taylor) -- Derived different types, resolutions, and Brown representability / Henning Krause -- workouts on derived different types, resolutions, and Brown representability / Henning Krause -- subject matters lecture sequence: Spectra for commutative algebraists / J.P.C. Greenlees -- Rational homotopy concept: a short advent / Kathryn Hess -- André-Quillen homology of commutative algebras / Srikanth Iyengar -- neighborhood cohomology in commutative algebra, homotopy concept, and staff cohomology / William G. Dwyer -- First steps in courageous new commutative algebra / J.P.C. Greenlees -- Cotorsion pairs and version different types / Mark Hovey -- Coherent sheaves on an elliptic curve / Kristian Brüning and Igor Burban -- Lectures at the cohomology of finite teams / Alejandro Adem

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