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Author : James D. Stasheff
Publisher :
ISBN 13 :
Total Pages : 58 pages
Book Rating : 4.3/5 (91 download)
Download or read book On Homotopy Abelian H-spaces written by James D. Stasheff and published by . This book was released on 1961 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : James Stasheff
Publisher : Springer
ISBN 13 : 3540363149
Total Pages : 100 pages
Book Rating : 4.5/5 (43 download)
Download or read book H-Spaces from a Homotopy Point of View written by James Stasheff and published by Springer. This book was released on 2006-11-15 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : I. M. James
Publisher :
ISBN 13 :
Total Pages : 30 pages
Book Rating : 4.3/5 (91 download)
Download or read book The Ten Types of H-spaces written by I. M. James and published by . This book was released on 1959 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Peter Hilton
Publisher : Elsevier
ISBN 13 : 1483258742
Total Pages : 167 pages
Book Rating : 4.4/5 (832 download)
Download or read book Localization of Nilpotent Groups and Spaces written by Peter Hilton and published by Elsevier. This book was released on 2016-06-03 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: North-Holland Mathematics Studies, 15: Localization of Nilpotent Groups and Spaces focuses on the application of localization methods to nilpotent groups and spaces. The book first discusses the localization of nilpotent groups, including localization theory of nilpotent groups, properties of localization in N, further properties of localization, actions of a nilpotent group on an abelian group, and generalized Serre classes of groups. The book then examines homotopy types, as well as mixing of homotopy types, localizing H-spaces, main (pullback) theorem, quasifinite nilpotent spaces, localization of nilpotent complexes, and nilpotent spaces. The manuscript takes a look at the applications of localization theory, including genus and H-spaces, finite H-spaces, and non-cancellation phenomena. The publication is a vital source of data for mathematicians and researchers interested in the localization of nilpotent groups and spaces.
Author : Francois Sigrist
Publisher : Springer
ISBN 13 : 3540366210
Total Pages : 165 pages
Book Rating : 4.5/5 (43 download)
Download or read book H - Spaces written by Francois Sigrist and published by Springer. This book was released on 2006-11-15 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : M. Arkowitz
Publisher : Springer
ISBN 13 : 3540349685
Total Pages : 39 pages
Book Rating : 4.5/5 (43 download)
Download or read book Groups of Homotopy Classes written by M. Arkowitz and published by Springer. This book was released on 2006-12-08 with total page 39 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many of the sets that one encounters in homotopy classification problems have a natural group structure. Among these are the groups [A, nX] of homotopy classes of maps of a space A into a loop-space nx. Other examples are furnished by the groups (̃y) of homotopy classes of homotopy equivalences of a space Y with itself. The groups [A, nX] and (̃Y) are not necessarily abelian. It is our purpose to study these groups using a numerical invariant which can be defined for any group. This invariant, called the rank of a group, is a generalisation of the rank of a finitely generated abelian group. It tells whether or not the groups considered are finite and serves to distinguish two infinite groups. We express the rank of subgroups of [A, nX] and of C(Y) in terms of rational homology and homotopy invariants. The formulas which we obtain enable us to compute the rank in a large number of concrete cases. As the main application we establish several results on commutativity and homotopy-commutativity of H-spaces. Chapter 2 is purely algebraic. We recall the definition of the rank of a group and establish some of its properties. These facts, which may be found in the literature, are needed in later sections. Chapter 3 deals with the groups [A, nx] and the homomorphisms f*: [B, nl̃ ̃[A, nx] induced by maps f: A ̃B. We prove a general theorem on the rank of the intersection of coincidence subgroups (Theorem 3. 3).
Author : Brayton Gray
Publisher : American Mathematical Soc.
ISBN 13 : 1470423081
Total Pages : 124 pages
Book Rating : 4.4/5 (74 download)
Download or read book Abelian Properties of Anick Spaces written by Brayton Gray and published by American Mathematical Soc.. This book was released on 2017-02-20 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: Anick spaces are closely connected with both EHP sequences and the study of torsion exponents. In addition they refine the secondary suspension and enter unstable periodicity. This work describes their -space properties as well as universal properties. Techniques include a new kind on Whitehead product defined for maps out of co-H spaces, calculations in an additive category that lies between the unstable category and the stable category, and a controlled version of the extension theorem of Gray and Theriault (Geom. Topol. 14 (2010), no. 1, 243–275).
Author : Ioan Mackenzie James
Publisher :
ISBN 13 :
Total Pages : 22 pages
Book Rating : 4.3/5 (91 download)
Download or read book Which Lie Groups are Homotopy-abelian? written by Ioan Mackenzie James and published by . This book was released on 1959 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Paul Selick
Publisher : American Mathematical Soc.
ISBN 13 : 9780821844366
Total Pages : 220 pages
Book Rating : 4.8/5 (443 download)
Download or read book Introduction to Homotopy Theory written by Paul Selick and published by American Mathematical Soc.. This book was released on 2008 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offers a summary for students and non-specialists who are interested in learning the basics of algebraic topology. This book covers fibrations and cofibrations, Hurewicz and cellular approximation theorems, topics in classical homotopy theory, simplicial sets, fiber bundles, Hopf algebras, and generalized homology and cohomology operations.
Author : John W. Rutter
Publisher : Springer
ISBN 13 : 3540691359
Total Pages : 180 pages
Book Rating : 4.5/5 (46 download)
Download or read book Spaces of Homotopy Self-Equivalences - A Survey written by John W. Rutter and published by Springer. This book was released on 2006-11-14 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This survey covers groups of homotopy self-equivalence classes of topological spaces, and the homotopy type of spaces of homotopy self-equivalences. For manifolds, the full group of equivalences and the mapping class group are compared, as are the corresponding spaces. Included are methods of calculation, numerous calculations, finite generation results, Whitehead torsion and other areas. Some 330 references are given. The book assumes familiarity with cell complexes, homology and homotopy. Graduate students and established researchers can use it for learning, for reference, and to determine the current state of knowledge.
Author : Jaume Aguade
Publisher : Springer
ISBN 13 : 3540467726
Total Pages : 339 pages
Book Rating : 4.5/5 (44 download)
Download or read book Algebraic Topology written by Jaume Aguade and published by Springer. This book was released on 2006-11-15 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers in this collection, all fully refereed, original papers, reflect many aspects of recent significant advances in homotopy theory and group cohomology. From the Contents: A. Adem: On the geometry and cohomology of finite simple groups.- D.J. Benson: Resolutions and Poincar duality for finite groups.- C. Broto and S. Zarati: On sub-A*-algebras of H*V.- M.J. Hopkins, N.J. Kuhn, D.C. Ravenel: Morava K-theories of classifying spaces and generalized characters for finite groups.- K. Ishiguro: Classifying spaces of compact simple lie groups and p-tori.- A.T. Lundell: Concise tables of James numbers and some homotopyof classical Lie groups and associated homogeneous spaces.- J.R. Martino: Anexample of a stable splitting: the classifying space of the 4-dim unipotent group.- J.E. McClure, L. Smith: On the homotopy uniqueness of BU(2) at the prime 2.- G. Mislin: Cohomologically central elements and fusion in groups.
Author : Steve Halperin
Publisher : World Scientific
ISBN 13 : 9814651451
Total Pages : 449 pages
Book Rating : 4.8/5 (146 download)
Download or read book Rational Homotopy Theory Ii written by Steve Halperin and published by World Scientific. This book was released on 2015-02-11 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research monograph is a detailed account with complete proofs of rational homotopy theory for general non-simply connected spaces, based on the minimal models introduced by Sullivan in his original seminal article. Much of the content consists of new results, including generalizations of known results in the simply connected case. The monograph also includes an expanded version of recently published results about the growth and structure of the rational homotopy groups of finite dimensional CW complexes, and concludes with a number of open questions.This monograph is a sequel to the book Rational Homotopy Theory [RHT], published by Springer in 2001, but is self-contained except only that some results from [RHT] are simply quoted without proof.
Author :
Publisher : Elsevier
ISBN 13 : 008087133X
Total Pages : 235 pages
Book Rating : 4.0/5 (88 download)
Download or read book Hopf Spaces written by and published by Elsevier. This book was released on 1976-01-01 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hopf Spaces
Author : Ioan James
Publisher :
ISBN 13 :
Total Pages : 52 pages
Book Rating : 4.3/5 (91 download)
Download or read book On Homotopy written by Ioan James and published by . This book was released on 1960 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : P.J. Hilton
Publisher : Springer
ISBN 13 : 3540372687
Total Pages : 178 pages
Book Rating : 4.5/5 (43 download)
Download or read book Localization in Group Theory and Homotopy Theory and Related Topics written by P.J. Hilton and published by Springer. This book was released on 2006-11-15 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : H-J. Baues
Publisher : Springer Science & Business Media
ISBN 13 : 9780792369820
Total Pages : 312 pages
Book Rating : 4.3/5 (698 download)
Download or read book Infinite Homotopy Theory written by H-J. Baues and published by Springer Science & Business Media. This book was released on 2001-06-30 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with algebraic topology, homotopy theory and simple homotopy theory of infinite CW-complexes with ends. Contrary to most other works on these subjects, the current volume does not use inverse systems to treat these topics. Here, the homotopy theory is approached without the rather sophisticated notion of pro-category. Spaces with ends are studied only by using appropriate constructions such as spherical objects of CW-complexes in the category of spaces with ends, and all arguments refer directly to this category. In this way, infinite homotopy theory is presented as a natural extension of classical homotopy theory. In particular, this book introduces the construction of the proper groupoid of a space with ends and then the cohomology with local coefficients is defined by the enveloping ringoid of the proper fundamental groupoid. This volume will be of interest to researchers whose work involves algebraic topology, category theory, homological algebra, general topology, manifolds, and cell complexes.
Author : S. Araki
Publisher :
ISBN 13 :
Total Pages : 18 pages
Book Rating : 4.3/5 (91 download)
Download or read book Homotopy-Abelian Lie Groups written by S. Araki and published by . This book was released on 1960 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:
