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On semi-I-open sets and semi-I-continuous functions

Acta Mathematica Hungarica
Volume/Issue:
Volume 107: Issue 4
DOI:
https://doi.org/10.1007/s10474-005-0202-2
Authors:
E. Hatir and
Takashi Noiri

Summary We investigate further properties of semi-I-open sets and semi-I-continuous functions introduced in [4] and give the notions of semi-I-open and semi-I-closed functions.

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On δ-I- open sets and decomposition of α-I-continuity

Acta Mathematica Hungarica
Volume/Issue:
Volume 102: Issue 4
DOI:
https://doi.org/10.1023/b:amhu.0000024685.84429.e9
Authors:
A. Acikgöz,
T. Noiri, and
Ş Yüksel

Abstract  

We introduce the notions of δ-I- open sets and semi δ-I-continuous functions in ideal topological spaces and investigate some of their properties. Additionally, we obtain decompositions of semi-I-continuous functions and α-I-continuous functions by using δ-I-open sets.

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On α-I-continuous and α-I-open functions

Acta Mathematica Hungarica
Volume/Issue:
Volume 105: Issue 1-2
DOI:
https://doi.org/10.1023/b:amhu.0000045530.79591.d5
Authors:
A. Açıkgöz,
T. Noiri, and
Ş. Yüksel

Abstract  

We study the concepts of α-I-continuity and α-I-openness in ideal topological spaces, and obtain several characterizations and some properties of these functions. Also, we investigate its relationship with other types of functions.

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