The Moore Spectral Sequence For Principal Fibrations
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The Moore Spectral Sequence For Principal Fibrations
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Author : Dogan Donmez
language : en
Publisher:
Release Date : 1979
The Moore Spectral Sequence For Principal Fibrations written by Dogan Donmez and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Fiber bundles (Mathematics) categories.
Classifying Spaces And Fibrations
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Author : J. Peter May
language : en
Publisher: American Mathematical Soc.
Release Date : 1975
Classifying Spaces And Fibrations 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 1975 with Classifying spaces categories.
The basic theory of fibrations is generalized to a context in which fibres, and maps on fibres, are constrained to lie in any preassigned category of spaces [script capital] F. Then axioms are placed on [script capital] F to allow the development of a theory of associated principal fibrations and, under several choices of additional hypotheses on [script capital] F, a classification theorem is proven for such fibrations.
A User S Guide To Spectral Sequences
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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.
Steenrod Squares In Spectral Sequences
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Author : William M. Singer
language : en
Publisher: American Mathematical Soc.
Release Date : 2006
Steenrod Squares In Spectral Sequences written by William M. Singer 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 a general theory of Steenrod operations in spectral sequences. It gives special attention to the change-of-rings spectral sequence for the cohomology of an extension of Hopf algebras and to the Eilenberg-Moore spectral sequence for the cohomology of classifying spaces and homotopy orbit spaces. In treating the change-of-rings spectral sequence, the book develops from scratch the necessary properties of extensions of Hopf algebras and constructs the spectral sequence in a form particularly suited to the introduction of Steenrod squares. The resulting theory can be used effectively for the computation of the cohomology rings of groups and Hopf algebras, and of the Steenrod algebra in particular, and so should play a useful role in stable homotopy theory. Similarly the book offers a self-contained construction of the Eilenberg-Moore spectral sequence, in a form suitable for the introduction of Steenrod operations. The corresponding theory is an effective tool for the computation of t
Conference On The Topology Of Manifolds
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Author : John Gilbert Hocking
language : en
Publisher:
Release Date : 1968
Conference On The Topology Of Manifolds written by John Gilbert Hocking and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Manifolds (Mathematics). categories.
Handbook Of Homotopy Theory
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Author : Haynes Miller
language : en
Publisher: CRC Press
Release Date : 2020-01-23
Handbook Of Homotopy Theory written by Haynes Miller and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-23 with Mathematics categories.
The Handbook of Homotopy Theory provides a panoramic view of an active area in mathematics that is currently seeing dramatic solutions to long-standing open problems, and is proving itself of increasing importance across many other mathematical disciplines. The origins of the subject date back to work of Henri Poincaré and Heinz Hopf in the early 20th century, but it has seen enormous progress in the 21st century. A highlight of this volume is an introduction to and diverse applications of the newly established foundational theory of ¥ -categories. The coverage is vast, ranging from axiomatic to applied, from foundational to computational, and includes surveys of applications both geometric and algebraic. The contributors are among the most active and creative researchers in the field. The 22 chapters by 31 contributors are designed to address novices, as well as established mathematicians, interested in learning the state of the art in this field, whose methods are of increasing importance in many other areas.
Algebraic Topology
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Author : Edwin H. Spanier
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Algebraic Topology written by Edwin H. Spanier 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.
This book surveys the fundamental ideas of algebraic topology. The first part covers the fundamental group, its definition and application in the study of covering spaces. The second part turns to homology theory including cohomology, cup products, cohomology operations and topological manifolds. The final part is devoted to Homotropy theory, including basic facts about homotropy groups and applications to obstruction theory.
Algebraic Topology
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Author : Arunas Liulevicius
language : en
Publisher: American Mathematical Soc.
Release Date : 1971
Algebraic Topology written by Arunas Liulevicius 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 1971 with Mathematics categories.
Liusternik Schnirelmann Category And The Moore Spectral Sequence
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Author : Graham Hilton Toomer
language : en
Publisher:
Release Date : 1974
Liusternik Schnirelmann Category And The Moore Spectral Sequence written by Graham Hilton Toomer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Algebra, Homological categories.
Obstruction Theory
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Author : H. J. Baues
language : en
Publisher: Springer
Release Date : 2006-11-15
Obstruction Theory written by H. J. Baues 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.