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Equivariant, Real Algebraic Differential Topology

Equivariant, Real Algebraic Differential Topology PDF Author: Richard S. Palais
Publisher:
ISBN:
Category : Algebraic topology
Languages : en
Pages : 228

Book Description


Equivariant, Real Algebraic Differential Topology

Equivariant, Real Algebraic Differential Topology PDF Author: Richard S. Palais
Publisher:
ISBN:
Category : Algebraic topology
Languages : en
Pages : 228

Book Description


Real Algebraic Geometry and Topology

Real Algebraic Geometry and Topology PDF Author: Selman Akbulut
Publisher: American Mathematical Soc.
ISBN: 0821802925
Category : Mathematics
Languages : en
Pages : 170

Book Description
This book contains the proceedings of the Real Algebraic Geometry-Topology Conference, held at Michigan State University in December 1993. Presented here are recent results and discussions of new ideas pertaining to such topics as resolution theorems, algebraic structures, topology of nonsingular real algebraic sets, and the distribution of real algebraic sets in projective space.

Real Algebraic Differential Topology

Real Algebraic Differential Topology PDF Author: Richard S. Palais
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 208

Book Description


Equivariant Differential Topology in an O-Minimal Expansion of the Field of Real Numbers

Equivariant Differential Topology in an O-Minimal Expansion of the Field of Real Numbers PDF Author: Tomohiro Kawakami
Publisher:
ISBN:
Category :
Languages : en
Pages : 24

Book Description
We establish basic properties of differential topology for defianable manifolds in an o-minimal expansion M of R = (R,+;.,

Equivariant Poincaré Duality on G-Manifolds

Equivariant Poincaré Duality on G-Manifolds PDF Author: Alberto Arabia
Publisher: Springer Nature
ISBN: 3030704408
Category : Mathematics
Languages : en
Pages : 383

Book Description
This book carefully presents a unified treatment of equivariant Poincaré duality in a wide variety of contexts, illuminating an area of mathematics that is often glossed over elsewhere. The approach used here allows the parallel treatment of both equivariant and nonequivariant cases. It also makes it possible to replace the usual field of coefficients for cohomology, the field of real numbers, with any field of arbitrary characteristic, and hence change (equivariant) de Rham cohomology to the usual singular (equivariant) cohomology . The book will be of interest to graduate students and researchers wanting to learn about the equivariant extension of tools familiar from non-equivariant differential geometry.

Differential Topology

Differential Topology PDF Author: C. T. C. Wall
Publisher: Cambridge University Press
ISBN: 1316673286
Category : Mathematics
Languages : en
Pages : 355

Book Description
Exploring the full scope of differential topology, this comprehensive account of geometric techniques for studying the topology of smooth manifolds offers a wide perspective on the field. Building up from first principles, concepts of manifolds are introduced, supplemented by thorough appendices giving background on topology and homotopy theory. Deep results are then developed from these foundations through in-depth treatments of the notions of general position and transversality, proper actions of Lie groups, handles (up to the h-cobordism theorem), immersions and embeddings, concluding with the surgery procedure and cobordism theory. Fully illustrated and rigorous in its approach, little prior knowledge is assumed, and yet growing complexity is instilled throughout. This structure gives advanced students and researchers an accessible route into the wide-ranging field of differential topology.

A History of Algebraic and Differential Topology, 1900 - 1960

A History of Algebraic and Differential Topology, 1900 - 1960 PDF Author: Jean Dieudonné
Publisher: Springer Science & Business Media
ISBN: 0817649077
Category : Mathematics
Languages : en
Pages : 666

Book Description
This book is a well-informed and detailed analysis of the problems and development of algebraic topology, from Poincaré and Brouwer to Serre, Adams, and Thom. The author has examined each significant paper along this route and describes the steps and strategy of its proofs and its relation to other work. Previously, the history of the many technical developments of 20th-century mathematics had seemed to present insuperable obstacles to scholarship. This book demonstrates in the case of topology how these obstacles can be overcome, with enlightening results.... Within its chosen boundaries the coverage of this book is superb. Read it! —MathSciNet

Lectures on Algebraic and Differential Topology

Lectures on Algebraic and Differential Topology PDF Author: R. Bott
Publisher: Springer
ISBN: 354037616X
Category : Mathematics
Languages : en
Pages : 183

Book Description


Equivariant Topology and Derived Algebra

Equivariant Topology and Derived Algebra PDF Author: Scott Balchin
Publisher: Cambridge University Press
ISBN: 1108931944
Category : Mathematics
Languages : en
Pages : 357

Book Description
A collection of research papers, both new and expository, based on the interests of Professor J. P. C. Greenlees.

Introduction to Differential Topology

Introduction to Differential Topology PDF Author: Theodor Bröcker
Publisher: Cambridge University Press
ISBN: 9780521284707
Category : Mathematics
Languages : en
Pages : 176

Book Description
This book is intended as an elementary introduction to differential manifolds. The authors concentrate on the intuitive geometric aspects and explain not only the basic properties but also teach how to do the basic geometrical constructions. An integral part of the work are the many diagrams which illustrate the proofs. The text is liberally supplied with exercises and will be welcomed by students with some basic knowledge of analysis and topology.