On The Theory And Applications Of Differential Torsion Products
DOWNLOAD
FREE 30 Days
Download On The Theory And Applications Of Differential Torsion Products PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get On The Theory And Applications Of Differential Torsion Products book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
On The Theory And Applications Of Differential Torsion Products
DOWNLOAD
FREE 30 Days
Author : V. K. A. M. Gugenheim
language : en
Publisher: American Mathematical Soc.
Release Date : 1974
On The Theory And Applications Of Differential Torsion Products written by V. K. A. M. Gugenheim and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Mathematics categories.
A new approach to differential homological algebra is developed, one which exploits more general types of resolutions than the bicomplexes used traditionally. An example of such a generalized resolution is exhibited and is used to prove that the differential torsion product reduces to the classical torsion product in favorable cases. This result is used to compute the cohomology of various spaces. The paper also includes proofs (within the new framework) of the results of Eilenberg and Moore which relate differential torsion products to the homology and cohomology of spaces, and a discussion of the relationship between differential torsion products and matric Massey products.
Handbook Of Algebraic Topology
DOWNLOAD
FREE 30 Days
Author : I.M. James
language : en
Publisher: Elsevier
Release Date : 1995-07-18
Handbook Of Algebraic Topology written by I.M. James and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-07-18 with Mathematics categories.
Algebraic topology (also known as homotopy theory) is a flourishing branch of modern mathematics. It is very much an international subject and this is reflected in the background of the 36 leading experts who have contributed to the Handbook. Written for the reader who already has a grounding in the subject, the volume consists of 27 expository surveys covering the most active areas of research. They provide the researcher with an up-to-date overview of this exciting branch of mathematics.
Parametrized Homotopy Theory
DOWNLOAD
FREE 30 Days
Author : J. Peter May
language : en
Publisher: American Mathematical Soc.
Release Date : 2006
Parametrized Homotopy Theory written by J. Peter May and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.
This book develops rigorous foundations for parametrized homotopy theory, which is the algebraic topology of spaces and spectra that are continuously parametrized by the points of a base space. It also begins the systematic study of parametrized homology and cohomology theories. The parametrized world provides the natural home for many classical notions and results, such as orientation theory, the Thom isomorphism, Atiyah and Poincare duality, transfer maps, the Adams and Wirthmuller isomorphisms, and the Serre and Eilenberg-Moore spectral sequences. But in addition to providing a clearer conceptual outlook on these classical notions, it also provides powerful methods to study new phenomena, such as twisted $K$-theory, and to make new constructions, such as iterated Thom spectra. Duality theory in the parametrized setting is particularly illuminating and comes in two flavors. One allows the construction and analysis of transfer maps, and a quite different one relates parametrized homology to parametrized cohomology. The latter is based formally on a new theory of duality in symmetric bicategories that is of considerable independent interest. The text brings together many recent developments in homotopy theory. It provides a highly structured theory of parametrized spectra, and it extends parametrized homotopy theory to the equivariant setting. The theory of topological model categories is given a more thorough treatment than is available in the literature. This is used, together with an interesting blend of classical methods, to resolve basic foundational problems that have no nonparametrized counterparts.
Rational Homotopical Models And Uniqueness
DOWNLOAD
FREE 30 Days
Author : Martin Majewski
language : en
Publisher: American Mathematical Soc.
Release Date : 2000
Rational Homotopical Models And Uniqueness written by Martin Majewski and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
The main goal of this paper is to prove the following conjecture of Baues and Lemaire: the differential graded Lie Tlgebra associated with the Sullivan model of a space is homotopy equivalent to its Quillen model. In addition we show the same for the cellular Lie algebra model which we build from the simplicial analog of the classical Adams-Hilton model. It turns out that this cellular Lie algebra model is one link in a chain of models connecting the models of Quillen and Sullivan.The key result which makes all this possible is Anick's correspondence between differential graded Lie algebras and Hopf algebras up to homotopy. In addition we show that the Quillen model is a rational homotopical equivalence, and we conclude the same for the other models using our main result. Theconstruction of the three models is given in detail. The background from homotopy theory, differential algebra, and algebra is presented in great generality.
Tensor And Vector Analysis
DOWNLOAD
FREE 30 Days
Author : A.T. Fomenko
language : en
Publisher: CRC Press
Release Date : 1998-11-26
Tensor And Vector Analysis written by A.T. Fomenko and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-11-26 with Mathematics categories.
Reflecting the significant contributions of Russian mathematicians to the field, this book contains a selection of papers on tensor and vector analysis. It is divided into three parts, covering Hamiltonian systems, Riemannian geometry and calculus of variations, and topology. The range of applications of these topics is very broad, as many modern geometrical problems recur across a wide range of fields, including mechanics and physics as well as mathematics. Many of the approaches to problems presented in this volume will be novel to the Western reader, although questions are of global interest. The main achievements of the Russian school are placed in the context of the development of each individual subject.
A Multiplicative Tate Spectral Sequence For Compact Lie Group Actions
DOWNLOAD
FREE 30 Days
Author : Alice Hedenlund
language : en
Publisher: American Mathematical Society
Release Date : 2024-03-18
A Multiplicative Tate Spectral Sequence For Compact Lie Group Actions written by Alice Hedenlund and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-03-18 with Mathematics categories.
View the abstract.
A User S Guide To Spectral Sequences
DOWNLOAD
FREE 30 Days
Author : John McCleary
language : en
Publisher: Cambridge University Press
Release Date : 2001
A User S Guide To Spectral Sequences written by John McCleary and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
Spectral sequences are among the most elegant and powerful methods of computation in mathematics. This book describes some of the most important examples of spectral sequences and some of their most spectacular applications. The first part treats the algebraic foundations for this sort of homological algebra, starting from informal calculations. The heart of the text is an exposition of the classical examples from homotopy theory, with chapters on the Leray-Serre spectral sequence, the Eilenberg-Moore spectral sequence, the Adams spectral sequence, and, in this new edition, the Bockstein spectral sequence. The last part of the book treats applications throughout mathematics, including the theory of knots and links, algebraic geometry, differential geometry and algebra. This is an excellent reference for students and researchers in geometry, topology, and algebra.
Homotopy Methods In Algebraic Topology
DOWNLOAD
FREE 30 Days
Author : Nicholas Kuhn
language : en
Publisher: American Mathematical Soc.
Release Date : 2001-04-25
Homotopy Methods In Algebraic Topology written by Nicholas Kuhn and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-04-25 with Mathematics categories.
This volume presents the proceedings from the AMS-IMS-SIAM Summer Research Conference on Homotopy Methods in Algebraic Topology held at the University of Colorado (Boulder). The conference coincided with the sixtieth birthday of J. Peter May. An article is included reflecting his wide-ranging and influential contributions to the subject area. Other articles in the book discuss the ordinary, elliptic and real-oriented Adams spectral sequences, mapping class groups, configuration spaces, extended powers, operads, the telescope conjecture, $p$-compact groups, algebraic K theory, stable and unstable splittings, the calculus of functors, the $E_{\infty}$ tensor product, and equivariant cohomology theories. The book offers a compendious source on modern aspects of homotopy theoretic methods in many algebraic settings.
The Homology Of Iterated Loop Spaces
DOWNLOAD
FREE 30 Days
Author : F. R. Cohen
language : en
Publisher: Springer
Release Date : 2007-01-05
The Homology Of Iterated Loop Spaces written by F. R. Cohen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-05 with Mathematics categories.
Continuous Cohomology Of The Lie Algebra Of Vector Fields
DOWNLOAD
FREE 30 Days
Author : Tōru Tsujishita
language : en
Publisher: American Mathematical Soc.
Release Date : 1981
Continuous Cohomology Of The Lie Algebra Of Vector Fields written by Tōru Tsujishita and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Homology theory categories.
This paper collects notations, definitions and facts about distributions, differential graded algebras, continuous cohomology of topological Lie algebras, etc. and state the main results. We then recall the results of Guillemin-Losik, Losik and Haefliger, rewriting them in a form suitable for proving them in somewhat different ways from the original proofs. We prove the main theorems, and the theorem from part one.