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Designed for readers with an understanding of basic topology, this book serves as a valuable resource for PhD students and researchers in mathematics. It offers a rigorous and thorough approach, with detailed proofs that clarify complex arguments—especially regarding the intricate properties of the pseudo-arc. A wealth of exercises helps reinforce understanding and develop problem-solving skills.
This book stands out for its depth and breadth, covering a range of topics. It provides a comprehensive study of hyperspace models, the homogeneity of the Hilbert cube, and the pseudo-arc, offering one of the few accessible and complete proofs of its unique properties. With its structured progression and careful exposition, this book is a valuable reference for anyone interested in continuum theory.
Designed for readers with an understanding of basic topology, this book serves as a valuable resource for PhD students and researchers in mathematics. It offers a rigorous and thorough approach, with detailed proofs that clarify complex arguments—especially regarding the intricate properties of the pseudo-arc. A wealth of exercises helps reinforce understanding and develop problem-solving skills.
This book stands out for its depth and breadth, covering a range of topics. It provides a comprehensive study of hyperspace models, the homogeneity of the Hilbert cube, and the pseudo-arc, offering one of the few accessible and complete proofs of its unique properties. With its structured progression and careful exposition, this book is a valuable reference for anyone interested in continuum theory.
Alejandro Illanes is a researcher at the National Autonomous University of Mexico, where he has taught for over 45 years. He has over 150 research papers in international journals and has supervised 16 doctoral theses. He is the author of a number of books.
Chapter 1. Introduction.- Chapter 2. Locally Connected Continua.- Chapter 3. CuttingWires and Bumping Boundaries.- Chapter 4. Indecomposable Continua.- Chapter 5. Characterizing Arcs and Circles.- Chapter 6. Finite Graphs.- Chapter 7. Dendroids.- Chapter 8. The Cantor Set.- Chapter 9. Hyperspaces of Continua.- Chapter 10. Models of Hyperspaces.- Chapter 11. Irreducible Continua.- Chapter 12. Unicoherence.- Chapter 13. The Fixed Point Property.- Chapter 14. Inverse Limits.- Chapter 15. Homogeneity of the Hilbert Cube.- Chapter 16. Absolute Retracts.- Chapter 17. Stronger Properties of the Pseudo-Arc.
| Erscheinungsjahr: | 2025 |
|---|---|
| Fachbereich: | Geometrie |
| Genre: | Mathematik, Medizin, Naturwissenschaften, Technik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Inhalt: |
xvii
239 S. 43 s/w Illustr. 17 farbige Illustr. 239 p. 60 illus. 17 illus. in color. |
| ISBN-13: | 9783031910104 |
| ISBN-10: | 3031910109 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: | Illanes, Alejandro |
| Hersteller: |
Springer Nature Switzerland
Springer International Publishing AG |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 235 x 155 x 14 mm |
| Von/Mit: | Alejandro Illanes |
| Erscheinungsdatum: | 25.06.2025 |
| Gewicht: | 0,447 kg |
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