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Infinite Loop Spaces Am 90 Volume 90


Infinite Loop Spaces Am 90 Volume 90
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The Geometric Hopf Invariant And Surgery Theory


The Geometric Hopf Invariant And Surgery Theory
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Author : Michael Crabb
language : en
Publisher: Springer
Release Date : 2018-01-24

The Geometric Hopf Invariant And Surgery Theory written by Michael Crabb and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-24 with Mathematics categories.


Written by leading experts in the field, this monograph provides homotopy theoretic foundations for surgery theory on higher-dimensional manifolds. Presenting classical ideas in a modern framework, the authors carefully highlight how their results relate to (and generalize) existing results in the literature. The central result of the book expresses algebraic surgery theory in terms of the geometric Hopf invariant, a construction in stable homotopy theory which captures the double points of immersions. Many illustrative examples and applications of the abstract results are included in the book, making it of wide interest to topologists. Serving as a valuable reference, this work is aimed at graduate students and researchers interested in understanding how the algebraic and geometric topology fit together in the surgery theory of manifolds. It is the only book providing such a wide-ranging historical approach to the Hopf invariant, double points and surgery theory, with many results old and new.



Differential Topology Foliations And Group Actions


Differential Topology Foliations And Group Actions
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Author : Paul A. Schweitzer
language : en
Publisher: American Mathematical Soc.
Release Date : 1994

Differential Topology Foliations And Group Actions written by Paul A. Schweitzer 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 1994 with Mathematics categories.


This volume contains the proceedings of the Workshop on Topology held at the Pontificia Universidade Catolica in Rio de Janeiro in January 1992. Bringing together about one hundred mathematicians from Brazil and around the world, the workshop covered a variety of topics in differential and algebraic topology, including group actions, foliations, low-dimensional topology, and connections to differential geometry. The main concentration was on foliation theory, but there was a lively exchange on other current topics in topology. The volume contains an excellent list of open problems in foliation research, prepared with the participation of some of the top world experts in this area. Also presented here are two surveys on group actions---finite group actions and rigidity theory for Anosov actions---as well as an elementary survey of Thurston's geometric topology in dimensions 2 and 3 that would be accessible to advanced undergraduates and graduate students.



New Spaces In Physics


New Spaces In Physics
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Author : Mathieu Anel
language : en
Publisher: Cambridge University Press
Release Date : 2021-04

New Spaces In Physics written by Mathieu Anel 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 2021-04 with Mathematics categories.


In this graduate-level book, leading researchers explore various new notions of 'space' in mathematical physics.



On Finite Groups And Homotopy Theory


On Finite Groups And Homotopy Theory
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Author : Ran Levi
language : en
Publisher: American Mathematical Soc.
Release Date : 1995

On Finite Groups And Homotopy Theory written by Ran Levi 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 1995 with Mathematics categories.


In part 1 we study the homology, homotopy, and stable homotopy of [capital Greek]Omega[italic capital]B[lowercase Greek]Pi[up arrowhead][over][subscript italic]p, where [italic capital]G is a finite [italic]p-perfect group. In part 2 we define the concept of resolutions by fibrations over an arbitrary family of spaces.



The Grothendieck Festschrift Volume I


The Grothendieck Festschrift Volume I
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Author : Pierre Cartier
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-05-21

The Grothendieck Festschrift Volume I written by Pierre Cartier 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 2009-05-21 with Mathematics categories.


This three-volume work contains articles collected on the occasion of Alexander Grothendieck’s sixtieth birthday and originally published in 1990. The articles were offered as a tribute to one of the world’s greatest living mathematicians. Many of the groundbreaking contributions in these volumes contain material that is now considered foundational to the subject. Topics addressed by these top-notch contributors match the breadth of Grothendieck’s own interests, including: functional analysis, algebraic geometry, algebraic topology, number theory, representation theory, K-theory, category theory, and homological algebra.



Scientific And Technical Aerospace Reports


Scientific And Technical Aerospace Reports
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Author :
language : en
Publisher:
Release Date : 1992

Scientific And Technical Aerospace Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Aeronautics categories.




The Homology Of Iterated Loop Spaces


The Homology Of Iterated Loop Spaces
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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.




Relations Among Characteristic Classes For Complex Cobordism


Relations Among Characteristic Classes For Complex Cobordism
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Author : Alexander Eben Koonce
language : en
Publisher:
Release Date : 1986

Relations Among Characteristic Classes For Complex Cobordism written by Alexander Eben Koonce and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with categories.




Jahresbericht Der Deutschen Mathematiker Vereinigung


Jahresbericht Der Deutschen Mathematiker Vereinigung
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Author : Deutsche Mathematiker-Vereinigung
language : en
Publisher:
Release Date : 2012

Jahresbericht Der Deutschen Mathematiker Vereinigung written by Deutsche Mathematiker-Vereinigung and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.




Scalar Vector And Matrix Mathematics


Scalar Vector And Matrix Mathematics
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Author : Dennis S. Bernstein
language : en
Publisher: Princeton University Press
Release Date : 2018-02-27

Scalar Vector And Matrix Mathematics written by Dennis S. Bernstein 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 2018-02-27 with Mathematics categories.


The essential reference book on matrices—now fully updated and expanded, with new material on scalar and vector mathematics Since its initial publication, this book has become the essential reference for users of matrices in all branches of engineering, science, and applied mathematics. In this revised and expanded edition, Dennis Bernstein combines extensive material on scalar and vector mathematics with the latest results in matrix theory to make this the most comprehensive, current, and easy-to-use book on the subject. Each chapter describes relevant theoretical background followed by specialized results. Hundreds of identities, inequalities, and facts are stated clearly and rigorously, with cross-references, citations to the literature, and helpful comments. Beginning with preliminaries on sets, logic, relations, and functions, this unique compendium covers all the major topics in matrix theory, such as transformations and decompositions, polynomial matrices, generalized inverses, and norms. Additional topics include graphs, groups, convex functions, polynomials, and linear systems. The book also features a wealth of new material on scalar inequalities, geometry, combinatorics, series, integrals, and more. Now more comprehensive than ever, Scalar, Vector, and Matrix Mathematics includes a detailed list of symbols, a summary of notation and conventions, an extensive bibliography and author index with page references, and an exhaustive subject index. Fully updated and expanded with new material on scalar and vector mathematics Covers the latest results in matrix theory Provides a list of symbols and a summary of conventions for easy and precise use Includes an extensive bibliography with back-referencing plus an author index