Homotopy Theories and Model Categories
by W. G. Dwyer, J. Spalinski
Publisher: University of Notre Dame 1995
Number of pages: 56
This paper is an introduction to the theory of model categories, which was developed by Quillen. We have tried to minimize the prerequisites needed for understanding this paper; it should be enough to have some familiarity with CW-complexes, with chain complexes, and with the basic terminology associated with categories.
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by Grant Walker, Reg Wood - University of Manchester
This book investigates the Steenrod algebra A2 over the field of two elements F2 in a purely algebraic context by its action on the polynomial algebra P(n) in n variables over F2. The reader is expected to have a basic knowledge of algebra.
by J. P. May - University Of Chicago Press
This book provides a detailed treatment of algebraic topology both for teachers of the subject and for advanced graduate students in mathematics. Most chapters end with problems that further explore and refine the concepts presented.
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These lecture notes are devoted to the theory of equations of associativity describing geometry of moduli spaces of 2D topological field theories. Topics: WDVV equations and Frobenius manifolds; Polynomial solutions of WDVV; Symmetries of WDVV; etc.
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This is an introduction to simplicial sets and simplicial homotopy theory with a focus on the combinatorial aspects of the theory and their geometric/topological origins. Accessible to students familiar with the fundamentals of algebraic topology.