Homotopy Theory Of Infinite Dimensional Manifolds

DOWNLOAD

Download Homotopy Theory Of Infinite Dimensional Manifolds PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Homotopy Theory Of Infinite Dimensional Manifolds book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page

Homotopy Theory Of Infinite Dimensional Manifolds

DOWNLOAD
Author : Richard S. Palais
language : en
Publisher:
Release Date : 1965

Homotopy Theory Of Infinite Dimensional Manifolds written by Richard S. Palais and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Homotopy theory categories.

Homotopy Theory Of Infinite Dimensional Manifold

DOWNLOAD
Author : Richard Sheldon Palais
language : en
Publisher:
Release Date : 1969

Homotopy Theory Of Infinite Dimensional Manifold written by Richard Sheldon Palais and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Differential topology categories.

Topology Of Infinite Dimensional Manifolds

DOWNLOAD
Author : Katsuro Sakai
language : en
Publisher: Springer Nature
Release Date : 2020-11-21

Topology Of Infinite Dimensional Manifolds written by Katsuro Sakai and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-21 with Mathematics categories.

An infinite-dimensional manifold is a topological manifold modeled on some infinite-dimensional homogeneous space called a model space. In this book, the following spaces are considered model spaces: Hilbert space (or non-separable Hilbert spaces), the Hilbert cube, dense subspaces of Hilbert spaces being universal spaces for absolute Borel spaces, the direct limit of Euclidean spaces, and the direct limit of Hilbert cubes (which is homeomorphic to the dual of a separable infinite-dimensional Banach space with bounded weak-star topology). This book is designed for graduate students to acquire knowledge of fundamental results on infinite-dimensional manifolds and their characterizations. To read and understand this book, some background is required even for senior graduate students in topology, but that background knowledge is minimized and is listed in the first chapter so that references can easily be found. Almost all necessary background information is found in Geometric Aspects of General Topology, the author's first book. Many kinds of hyperspaces and function spaces are investigated in various branches of mathematics, which are mostly infinite-dimensional. Among them, many examples of infinite-dimensional manifolds have been found. For researchers studying such objects, this book will be very helpful. As outstanding applications of Hilbert cube manifolds, the book contains proofs of the topological invariance of Whitehead torsion and Borsuk’s conjecture on the homotopy type of compact ANRs. This is also the first book that presents combinatorial ∞-manifolds, the infinite-dimensional version of combinatorial n-manifolds, and proofs of two remarkable results, that is, any triangulation of each manifold modeled on the direct limit of Euclidean spaces is a combinatorial ∞-manifold and the Hauptvermutung for them is true.

An Introduction To Infinite Dimensional Dynamical Systems Geometric Theory

DOWNLOAD
Author : J.K. Hale
language : en
Publisher: Springer
Release Date : 2013-02-14

An Introduction To Infinite Dimensional Dynamical Systems Geometric Theory written by J.K. Hale and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-02-14 with Mathematics categories.

Including: An Introduction to the Homotopy Theory in Noncompact Spaces

An Introduction To Infinite Dimensional Dynamical Systems Geometric Theory

DOWNLOAD
Author : Jack K. Hale
language : en
Publisher:
Release Date : 1984

An Introduction To Infinite Dimensional Dynamical Systems Geometric Theory written by Jack K. Hale and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Differentiable dynamical systems categories.

Infinite Dimensional Groups With Applications

DOWNLOAD
Author : Victor Kac
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Infinite Dimensional Groups With Applications written by Victor Kac 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 volume records most of the talks given at the Conference on Infinite-dimensional Groups held at the Mathematical Sciences Research Institute at Berkeley, California, May 10-May 15, 1984, as a part of the special program on Kac-Moody Lie algebras. The purpose of the conference was to review recent developments of the theory of infinite-dimensional groups and its applications. The present collection concentrates on three very active, interrelated directions of the field: general Kac-Moody groups, gauge groups (especially loop groups) and diffeomorphism groups. I would like to express my thanks to the MSRI for sponsoring the meeting, to Ms. Faye Yeager for excellent typing, to the authors for their manuscripts, and to Springer-Verlag for publishing this volume. V. Kac INFINITE DIMENSIONAL GROUPS WITH APPLICATIONS CONTENTS The Lie Group Structure of M. Adams. T. Ratiu 1 Diffeomorphism Groups and & R. Schmid Invertible Fourier Integral Operators with Applications On Landau-Lifshitz Equation and E. Date 71 Infinite Dimensional Groups Flat Manifolds and Infinite D. S. Freed 83 Dimensional Kahler Geometry Positive-Energy Representations R. Goodman 125 of the Group of Diffeomorphisms of the Circle Instantons and Harmonic Maps M. A. Guest 137 A Coxeter Group Approach to Z. Haddad 157 Schubert Varieties Constructing Groups Associated to V. G. Kac 167 Infinite-Dimensional Lie Algebras I. Kaplansky 217 Harish-Chandra Modules Over the Virasoro Algebra & L. J. Santharoubane 233 Rational Homotopy Theory of Flag S.

Infinite Homotopy Theory

DOWNLOAD
Author : H-J. Baues
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-06-30

Infinite Homotopy Theory written by H-J. Baues 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 2001-06-30 with Mathematics categories.

This book deals with algebraic topology, homotopy theory and simple homotopy theory of infinite CW-complexes with ends. Contrary to most other works on these subjects, the current volume does not use inverse systems to treat these topics. Here, the homotopy theory is approached without the rather sophisticated notion of pro-category. Spaces with ends are studied only by using appropriate constructions such as spherical objects of CW-complexes in the category of spaces with ends, and all arguments refer directly to this category. In this way, infinite homotopy theory is presented as a natural extension of classical homotopy theory. In particular, this book introduces the construction of the proper groupoid of a space with ends and then the cohomology with local coefficients is defined by the enveloping ringoid of the proper fundamental groupoid. This volume will be of interest to researchers whose work involves algebraic topology, category theory, homological algebra, general topology, manifolds, and cell complexes.

Twisted Stable Homotopy Theory

DOWNLOAD
Author : Christopher L. Douglas
language : en
Publisher:
Release Date : 2005

Twisted Stable Homotopy Theory written by Christopher L. Douglas and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with categories.

(Cont.) In a more geometric vein, I show how a polarized infinite-dimensional manifold gives rise to a twisted form of parametrized stable homotopy, and I discuss how this association should be realized explicitly in terms of semi-infinitely indexed spectra. This connection with polarized manifolds provides a foundation for applications of twisted parametrized stable homotopy to problems in symplectic Floer and Seiberg-Witten-Floer homotopy theory. Part II: I prove that the twisted K-homology of a simply connected simple Lie group G of rank n is an exterior algebra on n - 1 generators tensor a cyclic group. I give a detailed description of the order of this cyclic group in terms of the dimensions of irreducible representations of G and show that the congruences determining this cyclic order lift along the twisted index map to relations in the twisted ... bordism group of G.

Homology And Homotopy Of Infinite Dimensional Manifolds

DOWNLOAD
Author : Phillip Arthur Martens
language : en
Publisher:
Release Date : 1969

Homology And Homotopy Of Infinite Dimensional Manifolds written by Phillip Arthur Martens and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with categories.

Infinite Dimensional Topology

DOWNLOAD
Author : J. van Mill
language : en
Publisher: Elsevier
Release Date : 1988-12-01

Infinite Dimensional Topology written by J. van Mill and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-12-01 with Mathematics categories.

The first part of this book is a text for graduate courses in topology. In chapters 1 - 5, part of the basic material of plane topology, combinatorial topology, dimension theory and ANR theory is presented. For a student who will go on in geometric or algebraic topology this material is a prerequisite for later work. Chapter 6 is an introduction to infinite-dimensional topology; it uses for the most part geometric methods, and gets to spectacular results fairly quickly. The second part of this book, chapters 7 & 8, is part of geometric topology and is meant for the more advanced mathematician interested in manifolds. The text is self-contained for readers with a modest knowledge of general topology and linear algebra; the necessary background material is collected in chapter 1, or developed as needed.One can look upon this book as a complete and self-contained proof of Toruńczyk's Hilbert cube manifold characterization theorem: a compact ANR X is a manifold modeled on the Hilbert cube if and only if X satisfies the disjoint-cells property. In the process of proving this result several interesting and useful detours are made.