Functions on Manifolds: Algebraic and Topological Aspects

Functions on Manifolds: Algebraic and Topological Aspects
Author :
Publisher : American Mathematical Soc.
Total Pages : 210
Release :
ISBN-10 : 0821845780
ISBN-13 : 9780821845783
Rating : 4/5 (783 Downloads)

Book Synopsis Functions on Manifolds: Algebraic and Topological Aspects by : Vladimir Vasilʹevich Sharko

Download or read book Functions on Manifolds: Algebraic and Topological Aspects written by Vladimir Vasilʹevich Sharko and published by American Mathematical Soc.. This book was released on 1993 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph covers in a unified manner new results on smooth functions on manifolds. A major topic is Morse and Bott functions with a minimal number of singularities on manifolds of dimension greater than five. Sharko computes obstructions to deformation of one Morse function into another on a simply connected manifold. In addition, a method is developed for constructing minimal chain complexes and homotopical systems in the sense of Whitehead. This leads to conditions under which Morse functions on non-simply-connected manifolds exist. Sharko also describes new homotopical invariants of manifolds, which are used to substantially improve the Morse inequalities. The conditions guaranteeing the existence of minimal round Morse functions are discussed.


Functions on Manifolds: Algebraic and Topological Aspects Related Books

Functions on Manifolds: Algebraic and Topological Aspects
Language: en
Pages: 210
Authors: Vladimir Vasilʹevich Sharko
Categories: Mathematics
Type: BOOK - Published: 1993 - Publisher: American Mathematical Soc.

GET EBOOK

This monograph covers in a unified manner new results on smooth functions on manifolds. A major topic is Morse and Bott functions with a minimal number of singu
Translations of Mathematical Monographs
Language: en
Pages: 193
Authors:
Categories: Differentiable mappings
Type: BOOK - Published: 1962 - Publisher:

GET EBOOK

Introduction to Complex Analysis
Language: en
Pages: 268
Authors: Junjiro Noguchi
Categories: Mathematics
Type: BOOK - Published: 2008-04-09 - Publisher: American Mathematical Soc.

GET EBOOK

This book describes a classical introductory part of complex analysis for university students in the sciences and engineering and could serve as a text or refer
Mathematics of Fractals
Language: en
Pages: 104
Authors: Masaya Yamaguchi
Categories: Mathematics
Type: BOOK - Published: 1997 - Publisher: American Mathematical Soc.

GET EBOOK

For graduate and undergraduate students and researchers in mathematics, explains the notion behind the self-similar sets called fractals and chaotic dynamical s
Metric Characterization of Random Variables and Random Processes
Language: en
Pages: 276
Authors: Valeriĭ Vladimirovich Buldygin
Categories: Mathematics
Type: BOOK - Published: 2000-01-01 - Publisher: American Mathematical Soc.

GET EBOOK

The topic covered in this book is the study of metric and other close characteristics of different spaces and classes of random variables and the application of