Document Type

Conference Proceeding

Language

eng

Format of Original

5 p.

Publication Date

1-1976

Publisher

American Mathematical Society

Source Publication

Proceedings of the American Mathematical Society

Source ISSN

0002-9939

Original Item ID

doi: 10.1090/S0002-9939-1976-0405332-5; Shelves: QA1 .A5215 Storage S

Abstract

Let X be a space and let H(X) denote its hyperspace (= all nonempty closed subsets of X topologized via the Vietoris topology). Then X is Boolean (= totally disconnected compact Hausdorff) iff is Boolean; and if B denotes the characteristic algebra of clopen sets in X then the corresponding algebra for H(X) is the free algebra generated by B modulo the ideal which "remembers" the upper semilattice structure of B.

Comments

Published version. Proceedings of the American Mathematical Society, Vol. 54, No. 1 (January 1976): 298-302. DOI. © 1976 American Mathematical Society. Used with permission.

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