Download or read book Infinite Loop Spaces written by John Frank Adams and published by Princeton University Press. This book was released on 1978-09-21 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of infinite loop spaces has been the center of much recent activity in algebraic topology. Frank Adams surveys this extensive work for researchers and students. Among the major topics covered are generalized cohomology theories and spectra; infinite-loop space machines in the sense of Boadman-Vogt, May, and Segal; localization and group completion; the transfer; the Adams conjecture and several proofs of it; and the recent theories of Adams and Priddy and of Madsen, Snaith, and Tornehave.
Download or read book Infinite Loop Spaces written by J.F. Adams and published by . This book was released on 1978 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Infinite Loop Spaces written by John Frank Adams and published by . This book was released on 1978 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Geometry of Iterated Loop Spaces written by J.P. May and published by Springer. This book was released on 2006-11-15 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The MOD 2 Homology of Infinite Loop Spaces written by Jason Bryce McCarty and published by . This book was released on 2012 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book On the Stable Homotropy of Infinite Loop Spaces written by Louis David Finkelstein and published by . This book was released on 1977 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Infinite Loop Spaces and Products in Cohomology Theories written by Richard John Steiner and published by . This book was released on 1977 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Homology of Iterated Loop Spaces written by F. R. Cohen and published by Springer. This book was released on 2007-01-05 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Infinite Loop Spaces and Products in Cohomology Theories written by Richard John Steiner and published by . This book was released on 1977 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book On the Homology of Certain Infinite Loop Spaces written by Paul Roger Turner and published by . This book was released on 1993 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Simplicial Objects in Algebraic Topology written by J. P. May and published by University of Chicago Press. This book was released on 1992 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book Cellular Approximations of Infinite Loop Spaces and Classifying Spaces written by Alberto Gavira Romero and published by . This book was released on 2013 with total page 87 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Classifying Spaces for Surgery and Cobordism of Manifolds written by Ib Madsen and published by Princeton University Press. This book was released on 1979-11-21 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Beginning with a general discussion of bordism, Professors Madsen and Milgram present the homotopy theory of the surgery classifying spaces and the classifying spaces for the various required bundle theories. The next part covers more recent work on the maps between these spaces and the properties of the PL and Top characteristic classes, and includes integrality theorems for topological and PL manifolds. Later chapters treat the integral cohomology of BPL and Btop. The authors conclude with a discussion of the PL and topological cobordism rings and a construction of the torsion-free generators.
Download or read book Homology of Classical Groups Over Finite Fields and Their Associated Infinite Loop Spaces written by Z. Fiedorowicz and published by Springer. This book was released on 2006-11-15 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Infinite Loop Spaces written by and published by . This book was released on 1978 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Homology of Hopf Spaces written by R.M. Kane and published by North Holland. This book was released on 1988-08 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: This exposition of the theory of finite Hopf spaces details the development of the subject over the last thirty years, with the homology of such spaces as its main theme. The three chief areas of study in the volume are: - The study of finite H-spaces with torsion free integral homology. - The study of finite H-spaces with homology torsion. - The construction of finite H-spaces.
Download or read book Infinite Loop Structures on the Algebraic K theory of Spaces written by Richard Steiner and published by . This book was released on 1979 with total page 33 pages. Available in PDF, EPUB and Kindle. Book excerpt:
