Smooth Homotopy Of Infinite Dimensional C Infty Manifolds

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Smooth Homotopy Of Infinite Dimensional C Infty Manifolds

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Author : Hiroshi Kihara
language : en
Publisher: American Mathematical Society
Release Date : 2023-09-27

Smooth Homotopy Of Infinite Dimensional C Infty Manifolds written by Hiroshi Kihara and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-27 with Mathematics categories.

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Classification Of Mathcal O Infty Stable C Algebras

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Author : James Gabe
language : en
Publisher: American Mathematical Society
Release Date : 2024-02-01

Classification Of Mathcal O Infty Stable C Algebras written by James Gabe and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-02-01 with Mathematics categories.

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Infinite Dimensional Groups And Manifolds

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Author : Tilmann Wurzbacher
language : en
Publisher: Walter de Gruyter
Release Date : 2008-08-22

Infinite Dimensional Groups And Manifolds written by Tilmann Wurzbacher and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-08-22 with Mathematics categories.

The volume is a collection of refereed research papers on infinite dimensional groups and manifolds in mathematics and quantum physics. Topics covered are: new classes of Lie groups of mappings, the Burgers equation, the Chern--Weil construction in infinite dimensions, the hamiltonian approach to quantum field theory, and different aspects of large N limits ranging from approximation methods in quantum mechanics to modular forms and string/gauge theory duality. Directed at research mathematicians and theoretical physicists as well as graduate students, the volume gives an overview of important themes of research at the forefront of mathematics and theoretical physics.

Equivariant Almost Arborescent Representations Of Open Simply Connected 3 Manifolds A Finiteness Result

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Author : Valentin Poenaru
language : en
Publisher: American Mathematical Soc.
Release Date : 2004

Equivariant Almost Arborescent Representations Of Open Simply Connected 3 Manifolds A Finiteness Result written by Valentin Poenaru 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 2004 with Mathematics categories.

Shows that at the cost of replacing $V DEGREES3$ by $V_h DEGREES3 = \{V DEGREES3$ with very many holes $\}$, we can always find representations $X DEGREES2 \stackrel {f} {\rightarrow} V DEGREES3$ with $X DEGREES2$ locally finite and almost-arborescent, with $\Psi (f)=\Phi (f)$, and with the ope

Topology Of Infinite Dimensional Manifolds

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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.

Topics In Low Dimensional Topology In Honor Of Steve Armentrout Proceedings Of The Conference On Low Dimensional Topology

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Author : Augustin Banyaga
language : en
Publisher: World Scientific
Release Date : 1999-10-15

Topics In Low Dimensional Topology In Honor Of Steve Armentrout Proceedings Of The Conference On Low Dimensional Topology written by Augustin Banyaga and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-10-15 with categories.

Recent success with the four-dimensional Poincaré conjecture has revived interest in low-dimensional topology, especially the three-dimensional Poincaré conjecture and other aspects of the problems of classifying three-dimensional manifolds. These problems have a driving force, and have generated a great body of research, as well as insight.The main topics treated in this book include a paper by V Poenaru on the Poincaré conjecture and its ramifications, giving an insight into the herculean work of the author on the subject. Steve Armentrout's paper on “Bing's dogbone space” belongs to the topics in three-dimensional topology motivated by the Poincaré conjecture. S Singh gives a nice synthesis of Armentrout's work. Also included in the volume are shorter original papers, dealing with somewhat different aspects of geometry, and dedicated to Armentrout by his colleagues — Augustin Banyaga (and Jean-Pierre Ezin), David Hurtubise, Hossein Movahedi-Lankarani and Robert Wells.

Scientific And Technical Aerospace Reports

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Author :
language : en
Publisher:
Release Date : 1995

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 1995 with Aeronautics categories.

Low Dimensional Topology

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Author : Hanna Nencka
language : en
Publisher: American Mathematical Soc.
Release Date : 1999

Low Dimensional Topology written by Hanna Nencka 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 1999 with Mathematics categories.

"The book has two main parts. The first is devoted to the Poincare conjecture, characterizations of PL-manifolds, covering quadratic forms of links and to categories in low dimensional topology that appear in connection with conformal and quantum field theory.

Some Theorems On Direct Limits Of Expanding Sequences Of Manifolds

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Author : Vagn Lundsgaard Hansen
language : en
Publisher:
Release Date : 1970

Some Theorems On Direct Limits Of Expanding Sequences Of Manifolds written by Vagn Lundsgaard Hansen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Differential topology categories.

Essays On Topology

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Author : Louis Funar
language : en
Publisher: Springer Nature
Release Date : 2025-07-21

Essays On Topology written by Louis Funar and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-07-21 with Mathematics categories.

This book consists of a collection of articles dedicated to Valentin Poénaru, on topology and geometry in a broad sense. Poénaru is one of the leading mathematicians whose work had an essential impact on the development of topology in France over the last forty years of the twentieth century. The special topics addressed in this volume include hyperbolic geometry, 3-manifolds, complex and symplectic geometry, differential topology, combinatorial group theory, piecewise-linear topology, algebraic geometry, knots and links, homotopy theory, braid groups, phylogenetics, the history of geometry, and the philosophy of mathematics. This collection of articles, written by well-known researchers, provides a lively insight into a number of current research topics in geometry and topology.