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Lectures On The Eilenberg Moore Spectral Sequence


Lectures On The Eilenberg Moore Spectral Sequence
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Lectures On The Eilenberg Moore Spectral Sequence


Lectures On The Eilenberg Moore Spectral Sequence
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Author : Larry Smith
language : en
Publisher:
Release Date : 1970

Lectures On The Eilenberg Moore Spectral Sequence written by Larry Smith and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Eilenberg-Moore spectral sequences categories.




Lectures On The Eilenberg Moore Spectral Sequence


Lectures On The Eilenberg Moore Spectral Sequence
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Author : Larry Smith
language : en
Publisher: Springer
Release Date : 2006-11-15

Lectures On The Eilenberg Moore Spectral Sequence written by Larry Smith and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.




Lectures On The Eilenberg Moore Spectral Sequences


Lectures On The Eilenberg Moore Spectral Sequences
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Author :
language : en
Publisher:
Release Date : 1970

Lectures On The Eilenberg Moore Spectral Sequences written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with categories.




From Categories To Homotopy Theory


From Categories To Homotopy Theory
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Author : Birgit Richter
language : en
Publisher: Cambridge University Press
Release Date : 2020-04-16

From Categories To Homotopy Theory written by Birgit Richter 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 2020-04-16 with Mathematics categories.


Bridge the gap between category theory and its applications in homotopy theory with this guide for graduate students and researchers.



Fibrewise Homotopy Theory


Fibrewise Homotopy Theory
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Author : Michael Charles Crabb
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Fibrewise Homotopy Theory written by Michael Charles Crabb and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


Topology occupies a central position in the mathematics of today. One of the most useful ideas to be introduced in the past sixty years is the concept of fibre bundle, which provides an appropriate framework for studying differential geometry and much else. Fibre bundles are examples of the kind of structures studied in fibrewise topology. Just as homotopy theory arises from topology, so fibrewise homotopy the ory arises from fibrewise topology. In this monograph we provide an overview of fibrewise homotopy theory as it stands at present. It is hoped that this may stimulate further research. The literature on the subject is already quite extensive but clearly there is a great deal more to be done. Efforts have been made to develop general theories of which ordinary homotopy theory, equivariant homotopy theory, fibrewise homotopy theory and so forth will be special cases. For example, Baues [7] and, more recently, Dwyer and Spalinski [53], have presented such general theories, derived from an earlier theory of Quillen, but none of these seem to provide quite the right framework for our purposes. We have preferred, in this monograph, to develop fibre wise homotopy theory more or less ab initio, assuming only a basic knowledge of ordinary homotopy theory, at least in the early sections, but our aim has been to keep the exposition reasonably self-contained.



Six Lectures On Commutative Algebra


Six Lectures On Commutative Algebra
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Author : J. Elias
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-03-17

Six Lectures On Commutative Algebra written by J. Elias and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-03-17 with Mathematics categories.


Interest in commutative algebra has surged over the past decades. In order to survey and highlight recent developments in this rapidly expanding field, the Centre de Recerca Matematica in Bellaterra organized a ten-days Summer School on Commutative Algebra in 1996. Lectures were presented by six high-level specialists, L. Avramov (Purdue), M.K. Green (UCLA), C. Huneke (Purdue), P. Schenzel (Halle), G. Valla (Genova) and W.V. Vasconcelos (Rutgers), providing a fresh and extensive account of the results, techniques and problems of some of the most active areas of research. The present volume is a synthesis of the lectures given by these authors. Research workers as well as graduate students in commutative algebra and nearby areas will find a useful overview of the field and recent developments in it. Reviews "All six articles are at a very high level; they provide a thorough survey of results and methods in their subject areas, illustrated with algebraic or geometric examples." - Acta Scientiarum Mathematicarum Avramov lecture: "... it contains all the major results [on infinite free resolutions], it explains carefully all the different techniques that apply, it provides complete proofs (...). This will be extremely helpful for the novice as well as the experienced." - Mathematical reviews Huneke lecture: "The topic is tight closure, a theory developed by M. Hochster and the author which has in a short time proved to be a useful and powerful tool. (...) The paper is extremely well organized, written, and motivated." - Zentralblatt MATH Schenzel lecture: "... this paper is an excellent introduction to applications of local cohomology." - Zentralblatt MATH Valla lecture: "... since he is an acknowledged expert on Hilbert functions and since his interest has been so broad, he has done a superb job in giving the readers a lively picture of the theory." - Mathematical reviews Vasconcelos lecture: "This is a very useful survey on invariants of modules over noetherian rings, relations between them, and how to compute them." - Zentralblatt MATH



Catalog Of Copyright Entries Third Series


Catalog Of Copyright Entries Third Series
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Author : Library of Congress. Copyright Office
language : en
Publisher: Copyright Office, Library of Congress
Release Date : 1972

Catalog Of Copyright Entries Third Series written by Library of Congress. Copyright Office and has been published by Copyright Office, Library of Congress this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Copyright categories.




Algebra Topology And Category Theory


Algebra Topology And Category Theory
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Author : Alex Heller
language : en
Publisher: Academic Press
Release Date : 2014-05-10

Algebra Topology And Category Theory written by Alex Heller and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.


Algebra, Topology, and Category Theory: A Collection of Papers in Honor of Samuel Eilenberg is a collection of papers dealing with algebra, topology, and category theory in honor of Samuel Eilenberg. Topics covered range from large modules over artin algebras to two-dimensional Poincaré duality groups, along with the homology of certain H-spaces as group ring objects. Variable quantities and variable structures in topoi are also discussed. Comprised of 16 chapters, this book begins by looking at the relationship between the representation theories of finitely generated and large (not finitely generated) modules over an artin algebra. The reader is then introduced to reduced bar constructions on deRham complexes; some properties of two-dimensional Poincaré duality groups; and properties invariant within equivalence types of categories. Subsequent chapters explore the work of Samuel Eilenberg in topology; local complexity of finite semigroups; global dimension of ore extensions; and the spectrum of a ringed topos. This monograph will be a useful resource for students and practitioners of algebra and mathematics.



Hopf Spaces


Hopf Spaces
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Author :
language : en
Publisher: Elsevier
Release Date : 1976-01-01

Hopf Spaces written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976-01-01 with Mathematics categories.


Hopf Spaces



Introduction To Homotopy Theory


Introduction To Homotopy Theory
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Author : Paul Selick
language : en
Publisher: American Mathematical Soc.
Release Date : 2008

Introduction To Homotopy Theory written by Paul Selick 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 2008 with Mathematics categories.


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.