A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is `application/pdf`

.

##
###
A Note on the Topology of C-Convergence in Hyperspaces

1975
*
Proceedings of the American Mathematical Society
*

In this note we generalize and partially correct a recent Tychonoff theorem for hyperspaces of F. A. Chimenti [lj. For a topological space X, the symbols exp (X), [exp (X)] will denote the hyperspace of all nonempty subsets, of all nonempty closed subsets, respectively, of X. In [l, p. 284], F. A. Chimenti claims the following result: Theorem A. If exp (X.) is equipped with a topology that preserves the C.-convergence for every i £ I, then the product space II. ,exp (X.) z's compact if and only

doi:10.2307/2040186
fatcat:jyxs5dvxq5fh3g6qjbxgtzjy3m