The Arzelà–Ascoli theorem by means of ideal convergence
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DOI: 10.1515/gmj-2017-0052
Abstract: Abstract In this paper, using the concept of ideal convergence, which extends the idea of ordinary convergence and statistical convergence, we are concerned with the I-uniform convergence and the I-pointwise convergence of sequences of functions… read more here.
Keywords: arzel ascoli; ascoli theorem; means ideal; ideal convergence ... See more keywords
Arzelà-Ascoli theorem via the Wallman compactification
Sign Up to like & getrecommendations! Published in 2017 at "Quaestiones Mathematicae"
DOI: 10.2989/16073606.2017.1381653
Abstract: Abstract In the paper, we recall the Wallman compactification of a Tychonoff space T (denoted by Wall(T)) and the contribution made by Gillman and Jerison. Motivated by the Gelfand-Naimark theorem, we investigate the homeomorphism between… read more here.
Keywords: compactification; arzel ascoli; ascoli theorem; wallman compactification ... See more keywords