Remarks on enlargements of generalized topologies

Authors: Kim, Young¹; Min, Won²

Source: Acta Mathematica Hungarica, Volume 130, Number 4, March 2011 , pp. 390-395(6)

Publisher: Springer

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Abstract:

The concept of enlargement of a generalized topology was introduced by Á. Császár [4]. He also introduced the concepts of (κ,λ)-continuity and (κ _μ,λ _ν)-continuity on enlargements. In this paper, we characterize the (κ,λ)-continuity and introduce the concept of strong (κ,λ)-continuity on enlargements. In particular, we study characterizations for the strong (κ,λ)-continuity and the relationships among (μ,ν)-continuity, (κ,λ)-continuity, strong (κ,λ)-continuity and (κ _μ,λ _ν)-continuity.

Keywords: generalized topology; enlargement; (κ,λ)-continuous; strongly (κ,λ)-continuous; E-regular; 54A05

Document Type: Research article

DOI: http://dx.doi.org/10.1007/s10474-010-0018-6

Affiliations: 1: Department of Mathematics, MyongJi University, Youngin, 449-728, Korea, Email: ykkim@mju.ac.kr 2: Department of Mathematics, Kangwon National University, Chuncheon, 200-701, Korea, Email: wkmin@kangwon.ac.kr

Publication date: 2011-03-01