Share

Inverse Limits

2011-11-06 Mathematics
Download Inverse Limits PDF Online Free

Author :
Release : 2011-11-06
Genre : Mathematics
Kind : eBook
Book Rating : 97X/5 ( reviews)

GET EBOOK


Book Synopsis Inverse Limits by : W.T. Ingram

Download or read book Inverse Limits written by W.T. Ingram. This book was released on 2011-11-06. Available in PDF, EPUB and Kindle. Book excerpt: Inverse limits provide a powerful tool for constructing complicated spaces from simple ones. They also turn the study of a dynamical system consisting of a space and a self-map into a study of a (likely more complicated) space and a self-homeomorphism. In four chapters along with an appendix containing background material the authors develop the theory of inverse limits. The book begins with an introduction through inverse limits on [0,1] before moving to a general treatment of the subject. Special topics in continuum theory complete the book. Although it is not a book on dynamics, the influence of dynamics can be seen throughout; for instance, it includes studies of inverse limits with maps from families of maps that are of interest to dynamicists such as the logistic and the tent families. This book will serve as a useful reference to graduate students and researchers in continuum theory and dynamical systems. Researchers working in applied areas who are discovering inverse limits in their work will also benefit from this book.

An Introduction to Inverse Limits with Set-valued Functions

2012-08-11 Mathematics
Download An Introduction to Inverse Limits with Set-valued Functions PDF Online Free

Author :
Release : 2012-08-11
Genre : Mathematics
Kind : eBook
Book Rating : 87X/5 ( reviews)

GET EBOOK


Book Synopsis An Introduction to Inverse Limits with Set-valued Functions by : W.T. Ingram

Download or read book An Introduction to Inverse Limits with Set-valued Functions written by W.T. Ingram. This book was released on 2012-08-11. Available in PDF, EPUB and Kindle. Book excerpt: Inverse limits with set-valued functions are quickly becoming a popular topic of research due to their potential applications in dynamical systems and economics. This brief provides a concise introduction dedicated specifically to such inverse limits. The theory is presented along with detailed examples which form the distinguishing feature of this work. The major differences between the theory of inverse limits with mappings and the theory with set-valued functions are featured prominently in this book in a positive light. The reader is assumed to have taken a senior level course in analysis and a basic course in topology. Advanced undergraduate and graduate students, and researchers working in this area will find this brief useful. ​

Slenderness

2019 Mathematics
Download Slenderness PDF Online Free

Author :
Release : 2019
Genre : Mathematics
Kind : eBook
Book Rating : 42X/5 ( reviews)

GET EBOOK


Book Synopsis Slenderness by : Radoslav Milan Dimitric

Download or read book Slenderness written by Radoslav Milan Dimitric. This book was released on 2019. Available in PDF, EPUB and Kindle. Book excerpt: A leading expert presents a unified concept of slenderness in Abelian categories, with numerous open problems and exercises.

An Introduction to Inverse Limits with Set-valued Functions

2012
Download An Introduction to Inverse Limits with Set-valued Functions PDF Online Free

Author :
Release : 2012
Genre :
Kind : eBook
Book Rating : /5 ( reviews)

GET EBOOK


Book Synopsis An Introduction to Inverse Limits with Set-valued Functions by :

Download or read book An Introduction to Inverse Limits with Set-valued Functions written by . This book was released on 2012. Available in PDF, EPUB and Kindle. Book excerpt:

Local and Analytic Cyclic Homology

2007 Mathematics
Download Local and Analytic Cyclic Homology PDF Online Free

Author :
Release : 2007
Genre : Mathematics
Kind : eBook
Book Rating : 395/5 ( reviews)

GET EBOOK


Book Synopsis Local and Analytic Cyclic Homology by : Ralf Meyer

Download or read book Local and Analytic Cyclic Homology written by Ralf Meyer. This book was released on 2007. Available in PDF, EPUB and Kindle. Book excerpt: Periodic cyclic homology is a homology theory for non-commutative algebras that plays a similar role in non-commutative geometry as de Rham cohomology for smooth manifolds. While it produces good results for algebras of smooth or polynomial functions, it fails for bigger algebras such as most Banach algebras or C*-algebras. Analytic and local cyclic homology are variants of periodic cyclic homology that work better for such algebras. In this book, the author develops and compares these theories, emphasizing their homological properties. This includes the excision theorem, invariance under passage to certain dense subalgebras, a Universal Coefficient Theorem that relates them to $K$-theory, and the Chern-Connes character for $K$-theory and $K$-homology. The cyclic homology theories studied in this text require a good deal of functional analysis in bornological vector spaces, which is supplied in the first chapters. The focal points here are the relationship with inductive systems and the functional calculus in non-commutative bornological algebras. Some chapters are more elementary and independent of the rest of the book and will be of interest to researchers and students working on functional analysis and its applications.

You may also like...