More concise algebraic topology

More concise algebraic topology by J. Peter May Download PDF EPUB FB2

A Concise Course in Algebraic Topology, by J. May () Topics in Geometric Group Theory, by Pierre de la Harpe () Exterior Differential Systems and Euler-Lagrange Partial Differential Equations, by Robert Bryant, Phillip Griffiths, and Daniel Grossman () Ratner’s Theorems on Unipotent Flows, by Dave Witte Morris ()File Size: 2MB.

More Concise Algebraic Topology: Localization, Completion, and Model Categories (Chicago Lectures in Mathematics) (Hardcover) J. Peter May is an excellent homotopy book. It covers most up to date essentials and is the must for by:   J. Peter May’s A Concise Course in Algebraic Topology addresses the standard first course material, such as fundamental groups, covering spaces, the basics of homotopy theory.

In the first half of this book, we set out the basic theory of localization and completion of nilpotent spaces. We give the most elementary treatment we know, making no use of simplicial techniques or model categories.

We assume only a little more than a first course in algebraic topology, such as can be found in [3, 32, 34, 57, 89]. A Concise Course in Algebraic Topology - J. May - Google Books. Algebraic topology is a basic part of modern mathematics, and some knowledge of this area is indispensable for any advanced work 4/5(2).

Peter May's "A Concise Course in Algebraic Topology" addresses the standard first course material, such as fundamental groups, covering spaces, the basics of. A downloadable textbook in algebraic topology. What's in the Book.

To get an idea you can look at the Table of Contents and the Preface. Printed Version: The book was published by Cambridge University Press in in both paperback and hardback editions, but only the paperback version is currently available (ISBN ).

I have tried very hard to keep the price of the paperback. A Concise Course in Algebraic Topology. University of Chicago Press, [$18] — Good for getting the big picture. Perhaps not as easy for a beginner as the preceding book. • G E Bredon.

Topology and Geometry. Springer GTM[$70] — Includes basics on smooth manifolds, and even some point-set topology. • R Bott and L W Tu.

The "word on the street" is that Peter May in collaboration with Kate Ponto is writing a sequel to his concise course (with a title like "More concise algebraic topology"). I've seen portions of it, and it seems like it contains nice treatments of localizations and completions of spaces, model category theory, and the theory of hopf algebras.

The Steenrod algebra and its coaction on H∗(TO) 5. The relationship to Stiefel-Whitney numbers 6. Spectra and the computation of π∗(TO) = π∗(MO) 7. An introduction to the stable category Suggestions for further reading 1. A classic book and historical references 2.

Textbooks in algebraic topology and homotopy. A Concise Course in Algebraic Topology (J. May) This book explains the following topics: The fundamental group and some of its applications, Categorical language and the van Kampen theorem, Covering spaces, Graphs, Compactly generated spaces, Cofibrations, Fibrations, Based cofiber and fiber sequences, Higher homotopy groups, CW complexes, The homotopy excision and suspension.

Concise course in algebraic topology. May. Algebraic topology is a basic part of modern mathematics, and some knowledge of this area is indispensable for any advanced work relating to geometry, including topology itself, differential geometry, algebraic geometry, and Lie groups. This book provides a detailed treatment of algebraic topology both for teachers of the subject and for.

Peter May’s A Concise Course in Algebraic Topology addresses the standard first course material, such as fundamental groups, covering spaces, the basics of homotopy theory, and homology and cohomology. In this sequel, May and his coauthor, Kathleen Ponto, cover topics that are essential for algebraic topologists and others interested in algebraic topology, but that are not Pages: There's a great book called Lecture Notes in Algebraic Topology by Davis and Kirk which I highly recommend for advanced beginners, especially those who like the categorical viewpoint and homological algebra.

I think the treatment in Spanier is a bit outdated. J. Peter May's "A Concise Course in Algebraic Topology" addresses the standard first course material, such as fundamental groups, covering spaces, the basics of homotopy theory, and homology and cohomology/5(3).

Peter May’s A Concise Course in Algebraic Topology addresses the standard first course material, such as fundamental groups, covering spaces, the basics of homotopy theory, and homology and cohomology.

In this sequel, May and his coauthor, Kathleen Ponto, cover topics that are essential for algebraic topologists and others interested in algebraic topology, but that are not treated in standard. This book provides a concise introduction to topology and is necessary for courses in differential geometry, functional analysis, algebraic topology, etc.

Topology is a fundamental tool in most branches of pure mathematics and is also omnipresent in more applied parts of mathematics.

With firm foundations dating only from the s, algebraic topology is a relatively young area of mathematics. There are very few textbooks that treat fundamental topics beyond a first course, and many topics now essential to the field are not treated in any textbook.

Peter May's "A Concise Course in Algebraic Topology" addresses the standard first course material, such as fundamental. May's book "A Concise Course in Algebraic Topology" is a superb demonstration of this.

While the book is indeed extremely terse, it forces the reader to thoroughly internalize the concepts before moving on. Also, it presents results in their full generality, making Reviews: Algebraic topology is a basic part of modern mathematics, and some knowledge of this area is indispensable for any advanced work relating to geometry, including topology itself, differential geometry, algebraic geometry, and Lie groups.

This book provides a detailed treatment of algebraic topology both for teachers of the subject and for. With firm foundations dating only from the s, algebraic topology is a relatively young area of mathematics.

There are very few textbooks that treat fundamental topics beyond a first course, and many topics now essential to the field are not treated in any textbook. J. Peter May's A Concise Course in Algebraic Topology addresses the standard first course material, such as fundamental groups.Chicago Lectures in Mathematics (共14册), 这套丛书还有 《More Concise Algebraic Topology》,《Topics in Geometric Group Theory》,《Dimension Theory in Dynamical Systems》,《Geometry, Rigidity, and Group Actions》,《Commutative Semi-group Rings》 等。.More Concise Algebraic Topology: Localization, Completion, and Model Categories by J.

P. May Hardcover CDN$ Simplicial Objects in Algebraic Topology by J. P. May Paperback CDN$ Customers who viewed this item also viewed Page 1 of 1 Start over Page 1 of 1Reviews: