Parametrized homotopy theory (draft)

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Parametrized homotopy theory (draft)

Parametrized homotopy theory (draft)

J. Peter May, Johann Sigurdsson

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В книге излагаются основы теории параметризованных гомотопий, представляющей собой алгебраическую теорию пространств и спектров, непрерывно параметризованных точками базового пространства.

Κατηγορίες:

Mathematics - Geometry and Topology

Έτος:

2006

Εκδότης:

American Mathematical Soc.

Γλώσσα:

english

Σελίδες:

449

ISBN 10:

0821839225

ISBN 13:

9780821839225

Αρχείο:

PDF, 2.24 MB

IPFS:

,

english, 2006

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Ίσως σας ενδιαφέρει

Heath P.R. — An introduction to homotopy theory via groupoids and universal constructions

Anthony D. Elmendorf, I. Kriz, M. A. Mandell, J. P. May — Rings, Modules and Algebras in Stable Homotopy Theory (Mathematical surveys and Monographs 47)

A.K. Bousfield, V.K.A.M. Gugenheim — On PL De Rham Theory and Rational Homotopy Type (Memoirs of the American Mathematical Society) volume 8

Luchezar L. Avramov, J. Daniel Christensen, William G. Dwyer, Michael A. Mandell, Brooke E. Shipley, Editors — Interactions Between Homotopy Theory and Algebra (Contemporary Mathematics 436)

May P., Ponto K. — More concise algebraic topology

M. A. Mandell, J. Peter May — Equivariant Orthogonal Spectra and S-Modules (Memoirs of the American Mathematical Society)

John F. Jardine — Local Homotopy Theory

Michael Anthony Hill; Michael J. Hopkins; Douglas C. Ravenel — On the nonexistence of elements of Kervaire invariant one

Peter J.May and Kate Ponto — More Concise Algebraic Topology (2010 Draft)

Jardine J.F. — Local homotopy theory

Hovey M. — Model categories

William G. Dwyer, Philip S. Hirschhorn, Daniel M. Kan — Model Categories and More General Abstract Homotopy Theory: A Work in What We Like to Think of as Progress

Noam Kantor — Model categories: theory and applications

Charles Rezk — Spaces of Algebra Structures and Cohomology of Operads

Emily Riehl — A model structure for quasi-categories

John Rognes — Lecture Notes on Algebraic K-Theory

Michael Hopkins, E. Belmont, A. Mathew — Algebraic topology [Lecture notes]

Daniela Egas Santander — Quasi-categories and Complete Segal Spaces: Quillen equivalences [thesis]

André Joyal, Myles Tierney — Notes on simplicial homotopy theory [lecture notes]

Mark Hovey — Model categories

André Joyal — The Theory of Quasi-Categories and its Applications

Dugger D. — A primer on homotopy colimits

Rong Zhou — Constructing the cotangent complex via homotopical algebra

David A. Edwards, Harold M. Hastings (auth.) — Čech and Steenrod Homotopy Theories with Applications to Geometric Topology

Hans Joachim Baues — Algebraic homotopy

Baues, Hans Joachim — Algebraic Homotopy (Cambridge Studies in Advanced Mathematics, Series Number 15)

Carlos Simpson — Homotopy Theory of Higher Categories

Elmendorf A., Kriz I., Mandell M., May J. — Rings, modules and algebras in stable homotopy theory

Mark Hovey — Model Categories (Mathematical Surveys and Monographs)

Bousfield A.K., Gugenheim V.K.A.M. — On PL De Rham theory and rational homotopy type

Wojciech Chacholski, Jerome Scherer — Homotopy Theory of Diagrams

M. A. Mandell, J. Peter May — Equivariant Orthogonal Spectra and S-Modules

Po Hu — S-Modules in the Category of Schemes

International Conference on Algebraic Topology, Paul Gregory Goerss, Stewart Priddy (ed.) — Homotopy Theory: Relations With Algebraic Geometry, Group Cohomology, and Algebraic K-Theory : An International Conference on Algebraic Topology, March 24-28, 2002 Nor

May J.P., Sigurdsson J. — Parametrized homotopy theory

A. D. Elmendorf, I. Kriz, M. A. Mandell, J. P. May, and M. Cole — Rings, Modules, and Algebras in Stable Homotopy Theory

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