Translator Disclaimer
December 1994 Function spaces which are stratifiable
Bao-Lin Guo
Tsukuba J. Math. 18(2): 505-517 (December 1994). DOI: 10.21099/tkbjm/1496162617

Abstract

Let $X$ be a compact metric space and $Y$ a stratifiable space. By $C(X, Y)$, we denote the space of continuous maps from $X$ to $Y$ with the compact-open topology. In general, $C(X, Y)$ is not stratifiable. In this paper, we show that $C(X, Y)$ is stratifiable if $Y$ satisfies the condition given by Mizokami [Mi]. And we construct a stratifiable space $Y$ such that $C(X, Y)$ is not stratifiable even if $X$ is countable and compact.

Citation

Download Citation

Bao-Lin Guo. "Function spaces which are stratifiable." Tsukuba J. Math. 18 (2) 505 - 517, December 1994. https://doi.org/10.21099/tkbjm/1496162617

Information

Published: December 1994
First available in Project Euclid: 30 May 2017

zbMATH: 0832.54026
MathSciNet: MR1305829
Digital Object Identifier: 10.21099/tkbjm/1496162617

Rights: Copyright © 1994 University of Tsukuba, Institute of Mathematics

JOURNAL ARTICLE
13 PAGES


SHARE
Vol.18 • No. 2 • December 1994
Back to Top