Presents hyperspace fundamentals, offering a basic overview and a foundation for further study. Topics include the topology for hyperspaces, examples of geometric models for hyperspaces, 2x and C(X) for Peano continua X, arcs in hyperspaces, the shape and contractability of hyperspaces, hyperspaces and the fixed point property, and Whitney maps. The text contains examples and exercises throughout, and provides proofs for most results.
Addressed to all readers with an interest in fractals, hyperspaces, fixed-point theory, tilings and nonstandard analysis, this book presents its subject in an original and accessible way complete with many figures.
... hyperspaces of subcontinua of a finite graph I , Fund . Math . 62 ( 1968 ) , 265-286 . [ 2 ] C. Eberhart and S. B. Nadler , Jr. , Hyperspaces of cones and fans , Proc . Amer . Math . Soc . 77 ( 1979 ) , 279-288 . [ 3 ] W. Hurewicz and H ...
Compactness Properties for Some Hyperspaces and Function Spaces
Hud Hudson offers a fascinating examination of philosophical reasons to believe in hyperspace.
Reissued in new covers, this is the run-away bestseller from one of the world's leading theoretical physicists.
... Hyperspaces: Fundamentals and Recent Advances, Monographs and Textbooks in Pure and Applied Math., Vol. 216, Marcel ... Hyperspaces of a Continuum, Trans. Amer. Math. Soc., 52 (1942), 22–36. 51. J. Krasinkiewicz, On the Hyperspaces of ...
This volume is a collection of surveys of research problems in topology and its applications.
Hyperspaces of Sets: A Text with Research Questions
... Hyperspaces of Sets: A Text with Research Questions, Monographs and Textbooks in Pure and Applied Math., Vol. 49, Marcel Dekker, New York, Basel, 1978 and Alejandro Illanes and Sam B. Nadler, Jr., Hyperspaces: Fundamentals and Recent ...
Surfing Through Hyperspace concludes with a number of puzzles, computer experiments and formulas for further exploration, inviting readers to extend their minds across this inexhaustibly intriguing scientific terrain.