Paper Title:

On Infinite Unions and Intersections of Sets in a Metric Space

Author(s):

Spiros Konstantogiannis

Ronin Institute,
Montclair, New Jersey,
United States.
E-mail: spiros.konstantogiannis@ronininstitute.org
URL: https://www.researchgate.net/profile/Spiros-Konstantogiannis

Abstract:

The aim of this paper is to examine infinite unions and intersections of sets in a general metric space, with a view to explaining when an infinite intersection of open sets is an open set and when an infinite union of closed sets is a closed set.

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