Crossed Modules And Their Higher Dimensional Analogues
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Crossed Modules And Their Higher Dimensional Analogues
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Author : Graham Ellis
language : en
Publisher:
Release Date : 1984
Crossed Modules And Their Higher Dimensional Analogues written by Graham Ellis and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with categories.
Crossed Modules And Their Higher Dimensional Analogues
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Author : Graham J. Ellis
language : en
Publisher:
Release Date : 1984
Crossed Modules And Their Higher Dimensional Analogues written by Graham J. Ellis and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with categories.
Higher Dimensional Crossed Modules And The Homotopy Groups Of N 1 Ads
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Author : G. Ellis
language : en
Publisher:
Release Date : 1985
Higher Dimensional Crossed Modules And The Homotopy Groups Of N 1 Ads written by G. Ellis and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with categories.
Algebraic Topology
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Author : Mark E. Mahowald
language : en
Publisher: American Mathematical Soc.
Release Date : 1989
Algebraic Topology written by Mark E. Mahowald 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 1989 with Mathematics categories.
This book will provide readers with an overview of some of the major developments in current research in algebraic topology. Representing some of the leading researchers in the field, the book contains the proceedings of the International Conference on Algebraic Topology, held at Northwestern University in March, 1988. Several of the lectures at the conference were expository and will therefore appeal to topologists in a broad range of areas. The primary emphasis of the book is on homotopy theory and its applications. The topics covered include elliptic cohomology, stable and unstable homotopy theory, classifying spaces, and equivariant homotopy and cohomology. Geometric topics--such as knot theory, divisors and configurations on surfaces, foliations, and Siegel spaces--are also discussed. Researchers wishing to follow current trends in algebraic topology will find this book a valuable resource.
Algebraic Homotopy
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Author : Hans J. Baues
language : en
Publisher: Cambridge University Press
Release Date : 1989-02-16
Algebraic Homotopy written by Hans J. Baues 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 1989-02-16 with Mathematics categories.
This book gives a general outlook on homotopy theory; fundamental concepts, such as homotopy groups and spectral sequences, are developed from a few axioms and are thus available in a broad variety of contexts. Many examples and applications in topology and algebra are discussed, including an introduction to rational homotopy theory in terms of both differential Lie algebras and De Rham algebras. The author describes powerful tools for homotopy classification problems, particularly for the classification of homotopy types and for the computation of the group homotopy equivalences. Applications and examples of such computations are given, including when the fundamental group is non-trivial. Moreover, the deep connection between the homotopy classification problems and the cohomology theory of small categories is demonstrated. The prerequisites of the book are few: elementary topology and algebra. Consequently, this account will be valuable for non-specialists and experts alike. It is an important supplement to the standard presentations of algebraic topology, homotopy theory, category theory and homological algebra.
Galois Theory Hopf Algebras And Semiabelian Categories
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Author : George Janelidze, Bodo Pareigis, and Walter Tholen
language : en
Publisher: American Mathematical Soc.
Release Date :
Galois Theory Hopf Algebras And Semiabelian Categories written by George Janelidze, Bodo Pareigis, and Walter Tholen 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 with categories.
Galois Theory Hopf Algebras And Semiabelian Categories
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Author : George Janelidze
language : en
Publisher: American Mathematical Soc.
Release Date : 2004
Galois Theory Hopf Algebras And Semiabelian Categories written by George Janelidze 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 2004 with Mathematics categories.
This volume is based on talks given at the Workshop on Categorical Structures for Descent and Galois Theory, Hopf Algebras, and Semiabelian Categories held at The Fields Institute for Research in Mathematical Sciences (Toronto, ON, Canada). The meeting brought together researchers working in these interrelated areas. This collection of survey and research papers gives an up-to-date account of the many current connections among Galois theories, Hopf algebras, and semiabeliancategories. The book features articles by leading researchers on a wide range of themes, specifically, abstract Galois theory, Hopf algebras, and categorical structures, in particular quantum categories and higher-dimensional structures. Articles are suitable for graduate students and researchers,specifically those interested in Galois theory and Hopf algebras and their categorical unification.
Foundations Of Algebraic Topology
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Author : Samuel Eilenberg
language : en
Publisher: Princeton University Press
Release Date : 2015-12-08
Foundations Of Algebraic Topology written by Samuel Eilenberg and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-08 with Mathematics categories.
The need for an axiomatic treatment of homology and cohomology theory has long been felt by topologists. Professors Eilenberg and Steenrod present here for the first time an axiomatization of the complete transition from topology to algebra. Originally published in 1952. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Category Theory
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Author : Aurelio Carboni
language : en
Publisher: Springer
Release Date : 2006-11-14
Category Theory written by Aurelio Carboni and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
With one exception, these papers are original and fully refereed research articles on various applications of Category Theory to Algebraic Topology, Logic and Computer Science. The exception is an outstanding and lengthy survey paper by Joyal/Street (80 pp) on a growing subject: it gives an account of classical Tannaka duality in such a way as to be accessible to the general mathematical reader, and to provide a key for entry to more recent developments and quantum groups. No expertise in either representation theory or category theory is assumed. Topics such as the Fourier cotransform, Tannaka duality for homogeneous spaces, braided tensor categories, Yang-Baxter operators, Knot invariants and quantum groups are introduced and studies. From the Contents: P.J. Freyd: Algebraically complete categories.- J.M.E. Hyland: First steps in synthetic domain theory.- G. Janelidze, W. Tholen: How algebraic is the change-of-base functor?.- A. Joyal, R. Street: An introduction to Tannaka duality and quantum groups.- A. Joyal, M. Tierney: Strong stacks andclassifying spaces.- A. Kock: Algebras for the partial map classifier monad.- F.W. Lawvere: Intrinsic co-Heyting boundaries and the Leibniz rule in certain toposes.- S.H. Schanuel: Negative sets have Euler characteristic and dimension.-
Symmetry 2
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Author : I. Hargittai
language : en
Publisher: Elsevier
Release Date : 2016-02-25
Symmetry 2 written by I. Hargittai and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-02-25 with Mathematics categories.
Symmetry 2 aims to present an overview of the contemporary status of symmetry studies, particularly in the arts and sciences, emphasizing both its role and importance. Symmetry is not only one of the fundamental concepts in science, but is also possibly the best unifying concept between various branches of science, the arts and other human activities. Whereas symmetry has been considered important for centuries primarily for its aesthetic appeal, this century has witnessed a dramatic enhancement of its status as a cornerstone in the sciences. In addition to traditionally symmetry-oriented fields such as crystallography and spectroscopy, the concept has made headway in fields as varied as reaction chemistry, nuclear physics, and the study of the origin of the universe. The book was initiated in response to the success of the first volume, which not only received good reviews, but received the award for "The Best Single Issue of a Journal" by the Association of American Publishers for 1986. The second volume extends the application of symmetry to new fields, such as medical sciences and economics, as well as investigating further certain topics introduced in Symmetry. The book is extensively illustrated and with over 64 contributions from 16 countries presents an international overview of the nature and diversity of symmetry studies today.