Name: Connected Sets in Global Bifurcation Theory (en Inglés)
SKU: 64000577
Price: 59.46 USD
Availability: InStock
Author: Buffoni Boris,Toland John
ISBN: 9783031870507

portada Connected Sets in Global Bifurcation Theory (en Inglés)

Connected Sets in Global Bifurcation Theory (en Inglés)

Formato

Libro Físico

Editorial

Springer

Autor

Buffoni Boris,Toland John

Idioma

Inglés

Encuadernación

Tapa Blanda

ISBN13

9783031870507

Connected Sets in Global Bifurcation Theory (en Inglés)

Buffoni Boris,Toland John (Autor) · Springer · Tapa Blanda

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Reseña del libro "Connected Sets in Global Bifurcation Theory (en Inglés)"

This book explores the topological properties of connected and path-connected solution sets for nonlinear equations in Banach spaces, focusing on the distinction between these concepts. Building on Rabinowitz's dichotomy and classical results on Peano continua, the authors introduce "congestion points"--where connected sets fail to be weakly locally connected--and examine the extent to which their presence is compatible with path-connectedness. Through rigorous analysis and examples, the book provides new insights into global bifurcations. Structured into seven chapters, the book begins with an introduction to global bifurcation theory and foundational concepts in set theory and metric spaces. Subsequent chapters delve into connectedness, local connectedness, and congestion points, culminating in the construction of intricate examples that highlight the complexities of solution sets. The authors' careful selection of material and fluent writing style make this work a valuable resource for PhD students and experts in functional analysis and bifurcation theory.