The Australian Journal of Mathematical Analysis and Applications

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ISSN 1449-5910  


Paper Information

Paper Title:

On Infinite Unions and Intersections of Sets in a Metric Space


Spiros Konstantogiannis

Ronin Institute,
Montclair, New Jersey,
United States.


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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