Main Article Content

Cb(X) Revisited: Induced map and Submetrizability


S Kundu

Abstract

This paper, in the first half, studies the induced map on the
space Cb(X) of all continuous
real-valued functions on a Tychonoff space X, where
the function space has the bounded-open topology. In the second half, the submetrizability
of Cb(X) is studied in
detail.
Mathematics Subject Classification (2000): 54C35, 54C10, 54E18, 54E99.


Key words: Function space, induced map, μ-space, quasi-μ-space, submetrizability, pseu­docompact, Cech-complete.

Quaestiones Mathematicae 27 (2004), 47-56.

Journal Identifiers


eISSN: 1727-933X
print ISSN: 1607-3606