Remarks on enlargements of generalized topologies
Source: Acta Mathematica Hungarica, Volume 130, Number 4, March 2011 , pp. 390-395(6)
Abstract:The concept of enlargement of a generalized topology was introduced by Á. Császár . 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.
Document Type: Research article
Affiliations: 1: Department of Mathematics, MyongJi University, Youngin, 449-728, Korea, Email: firstname.lastname@example.org 2: Department of Mathematics, Kangwon National University, Chuncheon, 200-701, Korea, Email: email@example.com
Publication date: 2011-03-01