Abstract
This is an expository note, hopefully accessible to students, on how continuous convergence and convergence-theroretic techniques can provide insight on the classical Arzelá-Ascoli theorem.
Citation
Frédéric Mynard. "A Convergence-Theoretic Viewpoint on the Arzelá-Ascoli Theorem." Real Anal. Exchange 38 (2) 431 - 444, 2012/2013.
Information
Published: 2012/2013
First available in Project Euclid: 27 June 2014
zbMATH: 1295.54004
MathSciNet: MR3261888
Subjects:
Primary:
54A20
,
54C35
Secondary:
54D30
Keywords:
Arzela-Ascoli theorem
,
compactness
,
continuous convergence
,
convergence space
,
filter
,
function space
Rights: Copyright © 2012 Michigan State University Press
