Real Analysis Exchange
- Real Anal. Exchange
- Volume 38, Number 2 (2012), 431-444.
A Convergence-Theoretic Viewpoint on the Arzelá-Ascoli Theorem
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.
Article information
Source
Real Anal. Exchange, Volume 38, Number 2 (2012), 431-444.
Dates
First available in Project Euclid: 27 June 2014
Permanent link to this document
https://projecteuclid.org/euclid.rae/1403894903
Mathematical Reviews number (MathSciNet)
MR3261888
Zentralblatt MATH identifier
1295.54004
Subjects
Primary: 54A20: Convergence in general topology (sequences, filters, limits, convergence spaces, etc.) 54C35: Function spaces [See also 46Exx, 58D15]
Secondary: 54D30: Compactness
Keywords
Arzela-Ascoli Theorem function space compactness convergence space filter continuous convergence
Citation
Mynard, Frédéric. A Convergence-Theoretic Viewpoint on the Arzelá-Ascoli Theorem. Real Anal. Exchange 38 (2012), no. 2, 431--444. https://projecteuclid.org/euclid.rae/1403894903
