Completeness properties of the pseudocompact-open topology on $C(X)$

In: Mathematica Slovaca, vol. 58, no. 3

S. Kundu - Pratibha Garg

Details:

Year, pages: 2008, 325 - 338

Keywords:

function space, completely metrizable, \v{C}ech-complete, Sieve-complete, partition-complete, pseudocomplete, Baire space

About article:

This is a study of the completeness properties of the space $C_ps(X)$ of continuous real-valued functions on a Tychonoff space $X$, where the function space has the pseudocompact-open topology. The properties range from complete metrizability to the Baire space property.

How to cite:

ISO 690:

Kundu, S., Garg, P. 2008. Completeness properties of the pseudocompact-open topology on $C(X)$. In Mathematica Slovaca, vol. 58, no.3, pp. 325-338. 0139-9918.

APA:

Kundu, S., Garg, P. (2008). Completeness properties of the pseudocompact-open topology on $C(X)$. Mathematica Slovaca, 58(3), 325-338. 0139-9918.