Topology Atlas Document # paca-23

Compactness in function spaces: Arzela-Ascoli type theorems

Henno Brandsma

a note in Topology Explained
Document formats
online preview (AtlasImage) 5 pages
DVI file 22.4 Kb
PostScript file 99.0 Kb
Adobe PDF file 132.9 Kb
I will give some different proofs of different versions of Arzela-Ascoli type theorems that characterise compactness in a function space C(X, Y) in terms of equicontinuity plus obvious conditions.

Date: November 25, 2003


Copyright © 2003 by Topology Atlas. All rights reserved.