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Continuum Theory

By Alejandro Illanes

Continuum Theory Mathematics

Continuum Theory

By Alejandro Illanes

0 - Default Title
Description
This graduate textbook provides a natural and structured introduction to Continuum Theory, guiding readers from fundamental concepts to advanced topics. It covers classical results such as locally connected continua, indecomposable continua, arcs, circles, finite graphs, dendroids, and the relationship between the Cantor set and continua. The second half explores the theory of hyperspaces, presenting various models, their properties, and key theorems, while also highlighting elegant and lesser-known mathematical results. 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.
Product details
Binding:
Paperback
Number of Pages:
260
Release Date:
2025-06-25
Publication Date:
2025-06-25
Publisher:
Springer Nature Switzerland
Languages:
Original: English
ISBN10:
3031910109
ISBN13:
9783031910104
GPSR Manufacturer Reference:
[email protected]
Weight:
447 g
Height:
155 cm
Width:
235 cm
Thickness:
14 cm
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