ON $\small{P-\mathcal{I}}$-OPEN SETS

• Journal title : Honam Mathematical Journal
• Volume 31, Issue 3,  2009, pp.293-314
• Publisher : The Honam Mathematical Society
• DOI : 10.5831/HMJ.2009.31.3.293
Title & Authors
ON $\small{P-\mathcal{I}}$-OPEN SETS
Kang, Jeong-Gi; Kim, Chang-Su;

Abstract
The notions of pre-local function, semi-local functions and $\small{{\alpha}}$-local functions with respect to a topology and an ideal are introduced, and several properties are investigated. Also, the concept of $\small{P-\mathcal{I}}$-open sets and $\small{P-\mathcal{I}}$-closed sets in ideal topological spaces are discussed. Relations between $\small{\mathcal{I}}$-open sets and $\small{P-\mathcal{I}}$-open sets are provided, and several properties related to $\small{P-\mathcal{I}}$-open sets, pre-local functions, semi-local functions and $\small{{\alpha}}$-local functions with respect to a topology and an ideal are investigated.
Keywords
Ideal topological spaces;pre-local (semi-local, $\small{{\alpha}}$-local) functions with respect to a topology and an ideal;P-I-open (closed) sets;
Language
English
Cited by
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