Connected Sets in Global Bifurcation Theory

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, the authors introduce "congestion points"—where connected sets...

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Furkejuvvon:
Bibliográfalaš dieđut
Váldodahkkit: Buffoni, Boris (Dahkki), Toland, John (Dahkki)
Searvvušdahkki: SpringerLink (Online service)
Materiálatiipa: Elektrovnnalaš E-girji
Giella:eaŋgalasgiella
Almmustuhtton: Cham : Springer Nature Switzerland : Imprint: Springer, 2025.
Preanttus:1st ed. 2025.
Ráidu:SpringerBriefs in Mathematics,
Fáttát:
Liŋkkat:https://doi.org/10.1007/978-3-031-87051-4
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Sisdoallologahallan:
  • - 1. Introduction
  • 2. Set Theory Foundations
  • 3. Metric Spaces
  • 4. Types of Connectedness
  • 5. Congestion Points
  • 6. Decomposable and Indecomposable Continua
  • 7. Pathological Examples.