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Cones that are cells, and an application to hyperspaces

โœ Scribed by Fredric D. Ancel; Sam B. Nadler Jr

Book ID
104295620
Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
156 KB
Volume
98
Category
Article
ISSN
0166-8641

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โœฆ Synopsis

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 compacta is given, which answers a question of Charatonik.

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## Abstract Let__n__ > 2. A weakly representable relation algebra that is not strongly representable is constructed. It is proved that the set of all __n__ by __n__ basic matrices forms a cylindric basis that is also a weakly but not a strongly representable atom structure. This gives an example of