IJPAM: Volume 106, No. 2 (2016)

NEW FORMS OF STRONG COMPACTNESS IN TERMS OF IDEALS

Néstor Raúl Pachón
Department of Mathematics
Colombian School of Engineering
AK 45 No. 205-59, 111166, Bogotá, COLOMBIA


Abstract. The aim of this paper is to introduce and study new types of strong compactness, modulo an ideal, called $\rho \mathcal{I}$-compactness and $\sigma \mathcal{I}$-compactness.

Several of their properties are presented and some effects of various kinds of functions on them are studied. We compare this new spaces with other known types of strong compactness modulo an ideal.

Received: October 6, 2015

AMS Subject Classification: 54D30, 54C10

Key Words and Phrases: ideal, $\mathcal{I}$-compact, $S\mathcal{I}$-compact, $\alpha \mathcal{I}$-compact, $\beta \mathcal{I}$-compact, $\gamma \mathcal{I}$-compact

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DOI: 10.12732/ijpam.v106i2.12 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 106
Issue: 2
Pages: 481 - 493


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CC BY This work is licensed under the Creative Commons Attribution International License (CC BY).