Embeddings Of Decomposition Spaces
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Embeddings Of Decomposition Spaces
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Author : Felix Voigtlaender
language : en
Publisher:
Release Date : 2023
Embeddings Of Decomposition Spaces written by Felix Voigtlaender and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023 with Electronic books categories.
The Disc Embedding Theorem
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Author : Stefan Behrens
language : en
Publisher: Oxford University Press
Release Date : 2021
The Disc Embedding Theorem written by Stefan Behrens and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with Mathematics categories.
Based on Fields medal winning work of Michael Freedman, this book explores the disc embedding theorem for 4-dimensional manifolds. This theorem underpins virtually all our understanding of topological 4-manifolds. Most famously, this includes the 4-dimensional Poincaré conjecture in the topological category. The Disc Embedding Theorem contains the first thorough and approachable exposition of Freedman's proof of the disc embedding theorem, with many new details. A self-contained account of decomposition space theory, a beautiful but outmoded branch of topology that produces non-differentiable homeomorphisms between manifolds, is provided, as well as a stand-alone interlude that explains the disc embedding theorem's key role in all known homeomorphism classifications of 4-manifolds via surgery theory and the s-cobordism theorem. Additionally, the ramifications of the disc embedding theorem within the study of topological 4-manifolds, for example Frank Quinn's development of fundamental tools like transversality are broadly described.The book is written for mathematicians, within the subfield of topology, specifically interested in the study of 4-dimensional spaces, and includes numerous professionally rendered figures.
Embeddings In Manifolds
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Author : Robert J. Daverman
language : en
Publisher: American Mathematical Soc.
Release Date : 2009-10-14
Embeddings In Manifolds written by Robert J. Daverman 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 2009-10-14 with Mathematics categories.
A topological embedding is a homeomorphism of one space onto a subspace of another. The book analyzes how and when objects like polyhedra or manifolds embed in a given higher-dimensional manifold. The main problem is to determine when two topological embeddings of the same object are equivalent in the sense of differing only by a homeomorphism of the ambient manifold. Knot theory is the special case of spheres smoothly embedded in spheres; in this book, much more general spaces and much more general embeddings are considered. A key aspect of the main problem is taming: when is a topological embedding of a polyhedron equivalent to a piecewise linear embedding? A central theme of the book is the fundamental role played by local homotopy properties of the complement in answering this taming question. The book begins with a fresh description of the various classic examples of wild embeddings (i.e., embeddings inequivalent to piecewise linear embeddings). Engulfing, the fundamental tool of the subject, is developed next. After that, the study of embeddings is organized by codimension (the difference between the ambient dimension and the dimension of the embedded space). In all codimensions greater than two, topological embeddings of compacta are approximated by nicer embeddings, nice embeddings of polyhedra are tamed, topological embeddings of polyhedra are approximated by piecewise linear embeddings, and piecewise linear embeddings are locally unknotted. Complete details of the codimension-three proofs, including the requisite piecewise linear tools, are provided. The treatment of codimension-two embeddings includes a self-contained, elementary exposition of the algebraic invariants needed to construct counterexamples to the approximation and existence of embeddings. The treatment of codimension-one embeddings includes the locally flat approximation theorem for manifolds as well as the characterization of local flatness in terms of local homotopy properties.
Concentration Compactness
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Author : Kyril Tintarev
language : en
Publisher: Imperial College Press
Release Date : 2007
Concentration Compactness written by Kyril Tintarev and has been published by Imperial College Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
Concentration compactness is an important method in mathematical analysis which has been widely used in mathematical research for two decades. This unique volume fulfills the need for a source book that usefully combines a concise formulation of the method, a range of important applications to variational problems, and background material concerning manifolds, non-compact transformation groups and functional spaces. Highlighting the role in functional analysis of invariance and, in particular, of non-compact transformation groups, the book uses the same building blocks, such as partitions of domain and partitions of range, relative to transformation groups, in the proofs of energy inequalities and in the weak convergence lemmas.
Algorithms Esa 2004
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Author : Susanne Albers
language : en
Publisher: Springer
Release Date : 2004-09-01
Algorithms Esa 2004 written by Susanne Albers and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-09-01 with Computers categories.
This book constitutes the refereed proceedings of the 12th Annual European Symposium on Algorithms, ESA 2004, held in Bergen, Norway, in September 2004. The 70 revised full papers presented were carefully reviewed from 208 submissions. The scope of the papers spans the entire range of algorithmics from design and mathematical issues to real-world applications in various fields, and engineering and analysis of algorithms.
Functional Analysis Harmonic Analysis And Image Processing
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Author : Michael Cwikel
language : en
Publisher: American Mathematical Soc.
Release Date : 2017-07-26
Functional Analysis Harmonic Analysis And Image Processing written by Michael Cwikel 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 2017-07-26 with Computers categories.
This volume is dedicated to the memory of Björn Jawerth. It contains original research contributions and surveys in several of the areas of mathematics to which Björn made important contributions. Those areas include harmonic analysis, image processing, and functional analysis, which are of course interrelated in many significant and productive ways. Among the contributors are some of the world's leading experts in these areas. With its combination of research papers and surveys, this book may become an important reference and research tool. This book should be of interest to advanced graduate students and professional researchers in the areas of functional analysis, harmonic analysis, image processing, and approximation theory. It combines articles presenting new research with insightful surveys written by foremost experts.
Oar Index Of Research Results
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Author :
language : en
Publisher:
Release Date : 1967
Oar Index Of Research Results written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Aeronautics categories.
Oar Quarterly Index Of Current Research Results
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Author : United States. Air Force. Office of Aerospace Research
language : en
Publisher:
Release Date : 1967
Oar Quarterly Index Of Current Research Results written by United States. Air Force. Office of Aerospace Research and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Aeronautics, Military categories.
Oar Cumulative Index Of Research Results
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Author :
language : en
Publisher:
Release Date : 1967
Oar Cumulative Index Of Research Results written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Aeronautics categories.
Decompositions Of Manifolds
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Author :
language : en
Publisher: Academic Press
Release Date : 1986-12-22
Decompositions Of Manifolds written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-12-22 with Mathematics categories.
Decompositions of Manifolds