Connected Sets in Global Bifurcation Theory

Name: Connected Sets in Global Bifurcation Theory
Brand: Springer, Berlin
SKU: 9783031870507
Price: 275.77 RON
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Autor: Boris Buffoni, John Toland

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Editura: Springer, Berlin

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This book explores the topological properties of connected and path-connected solution sets for nonl...

Informații despre carte

Autor

Boris Buffoni, John Toland

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2025

Pagini

104

EAN

9783031870507

Enbook ID

48096522

Editura

Springer, Berlin

Greutate

190

Dimensiuni

155 x 235

Descriere completă

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.

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Connected Sets in Global Bifurcation Theory

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