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Continua Whose Cone and Hyperspace are Homeomorphic

โœ Scribed by Sam B. Nadler, Jr.


Book ID
125682750
Publisher
American Mathematical Society
Year
1977
Tongue
English
Weight
640 KB
Volume
230
Category
Article
ISSN
0002-9947

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๐Ÿ“œ SIMILAR VOLUMES


Continua whose hyperspace and suspension
โœ Sam B. Nadler Jr.; J. Quinn ๐Ÿ“‚ Article ๐Ÿ“… 1978 ๐Ÿ› Elsevier Science โš– 958 KB

continuum. By the hypezspace of X we mean C(X) = {A : A is a: nonempty subcontinuum of X) with the HausdorfI metric. The suspension S(X) of X is the quotient space (X .x I-1, + l])/R, where X X'[ -1, + 1] is the Cartesian product of X and the closed interval [ -1, + l] and R is the equivalence relat

Continua with cones homeomorphic to hype
โœ James T. Rogers Jr. ๐Ÿ“‚ Article ๐Ÿ“… 1973 ๐Ÿ› Elsevier Science โš– 801 KB

We investigate continua with the property that the cone ojGrer\* the continuum is homeomorphic to the hyperspace of subcontinua of the cantMum. Among our results ale the following theorems: (i) Such a finite-dimensional continuum must be airiodic and onedimensional; (ii) if such a continuum is hered

Cones that are cells, and an application
โœ Fredric D. Ancel; Sam B. Nadler Jr ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 156 KB

Let Y be a compact metric space that is not an (n -1)-sphere. If the cone over Examples are given to show that the converse of the first part is false (for n 5) and that the second part does not extend beyond n = 4. An application concerning when hyperspaces of simple n-ods are cones over unique co