Background
May, J. Peter was born on September 16, 1939 in New York City. Son of Siegmund Henry and Jane (Polachek) May.
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book
Simplicial Objects in Algebraic Topology
http://www.amazon.com/gp/product/0226511804/?tag=2022091-20
Simplicial Objects in Algebraic Topology (Chicago Lectures in Mathematics)
( Simplicial sets are discrete analogs of topological spa...)
Simplicial sets are discrete analogs of topological spaces. They have played a central role in algebraic topology ever since their introduction in the late 1940s, and they also play an important role in other areas such as geometric topology and algebraic geometry. On a formal level, the homotopy theory of simplicial sets is equivalent to the homotopy theory of topological spaces. In view of this equivalence, one can apply discrete, algebraic techniques to perform basic topological constructions. These techniques are particularly appropriate in the theory of localization and completion of topological spaces, which was developed in the early 1970s. Since it was first published in 1967, Simplicial Objects in Algebraic Topology has been the standard reference for the theory of simplicial sets and their relationship to the homotopy theory of topological spaces. J. Peter May gives a lucid account of the basic homotopy theory of simplicial sets, together with the equivalence of homotopy theories alluded to above. The central theme is the simplicial approach to the theory of fibrations and bundles, and especially the algebraization of fibration and bundle theory in terms of "twisted Cartesian products." The Serre spectral sequence is described in terms of this algebraization. Other topics treated in detail include Eilenberg-MacLane complexes, Postnikov systems, simplicial groups, classifying complexes, simplicial Abelian groups, and acyclic models. "Simplicial Objects in Algebraic Topology presents much of the elementary material of algebraic topology from the semi-simplicial viewpoint. It should prove very valuable to anyone wishing to learn semi-simplicial topology. May has included detailed proofs, and he has succeeded very well in the task of organizing a large body of previously scattered material."—Mathematical Review
http://www.amazon.com/gp/product/0226511812/?tag=2022091-20
The Geometry of Iterated Loop Spaces (Lecture Notes in Mathematics)
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Simplicial Objects in Algebraic Topology (Chicago Lectures in Mathematics) by J. P. May (1993-01-15)
(Will be shipped from US. Brand new copy.)
Will be shipped from US. Brand new copy.
http://www.amazon.com/gp/product/B01FKT3NYK/?tag=2022091-20
Equivariant Stable Homotopy Theory (Lecture Notes in Mathematics 1213)
http://www.amazon.com/gp/product/3540168206/?tag=2022091-20
Equivariant Homotopy and Cohomology Theory (Cbms Regional Conference Series in Mathematics)
(This volume introduces equivariant homotopy, homology, an...)
This volume introduces equivariant homotopy, homology, and cohomology theory, along with various related topics in modern algebraic topology. It explains the main ideas behind some of the most striking recent advances in the subject. The book begins with a development of the equivariant algebraic topology of spaces culminating in a discussion of the Sullivan conjecture that emphasizes its relationship with classical Smith theory. It then introduces equivariant stable homotopy theory, the equivariant stable homotopy category, and the most important examples of equivariant cohomology theories. The basic machinery that is needed to make serious use of equivariant stable homotopy theory is presented next, along with discussions of the Segal conjecture and generalized Tate cohomology. Finally, the book gives an introduction to ''brave new algebra'', the study of point-set level algebraic structures on spectra and its equivariant applications. Emphasis is placed on equivariant complex cobordism, and related results on that topic are presented in detail. Features: Introduces many of the fundamental ideas and concepts of modern algebraic topology. Presents comprehensive material not found in any other book on the subject. Provides a coherent overview of many areas of current interest in algebraic topology. Surveys a great deal of material, explaining main ideas without getting bogged down in details.
http://www.amazon.com/gp/product/0821803190/?tag=2022091-20
Equivariant Homotopy and Cohomology Theory (Cbms Regional Conference Series in Mathematics) by J. P. May (1996-10-01)
http://www.amazon.com/gp/product/B01JXMIG0Q/?tag=2022091-20
J. Peter May
Edit ProfileEducation
Bachelor, Swarthmore College, 1960; Doctor of Philosophy, Princeton University, 1964.
Career
Instructor, Yale University, New Haven, 1964-1965; assistant professor, Yale University, New Haven, 1965-1967; associate professor, University of Chicago, 1967-1970; professor, University of Chicago, since 1970; department chairman mathematics, University of Chicago, 1985-1991; chairman county on teaching, University of Chicago, since 1991. Member Institute Advanced Study, Princeton, 1966. Visiting professor Cambridge U., England, 1971-1972, 1977.
Achievements
Works
book
-
Equivariant Homotopy and Cohomology Theory (Cbms Regional Conference Series in Mathematics)
(This volume introduces equivariant homotopy, homology, an...)
-
Simplicial Objects in Algebraic Topology (Chicago Lectures in Mathematics)
( Simplicial sets are discrete analogs of topological spa...)
-
Simplicial Objects in Algebraic Topology (Chicago Lectures in Mathematics) by J. P. May (1993-01-15)
(Will be shipped from US. Brand new copy.)
- Equivariant Stable Homotopy Theory (Lecture Notes in Mathematics 1213)
- Simplicial Objects in Algebraic Topology
- The Geometry of Iterated Loop Spaces (Lecture Notes in Mathematics)
- Equivariant Stable Homotopy Theory (Lecture Notes in Mathematics 1213)
- Equivariant Homotopy and Cohomology Theory (Cbms Regional Conference Series in Mathematics) by J. P. May (1996-10-01)
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Equivariant Homotopy and Cohomology Theory (Cbms Regional Conference Series in Mathematics)
Membership
Member American Association of University Professors, American Mathematics Society.
Connections
Married Maija Bajars, June 8, 1963. Children: Anthony D., Andrew D.
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Born
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Nationality
American