On almost clopen continuity
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- 作者：A. Kanibir (1) kanibir@hacettepe.edu.tr
I. L. Reilly (2) i.reilly@auckland.ac.nz - 关键词：change of topology – ; continuity – ; clopen continuity – ; almost clopen continuity – ; perfect continuity – ; regular set ; connected function – ; semi ; regularization – ; quasi ; topology of a space
- 刊名：Acta Mathematica Hungarica
- 出版时间：March 2011
- 出版年：2011
- 期刊代码：2_02365294
- 类别：ch
- 卷：130
- 期：4
- 页码：363-371
- 数据来源：sp
摘要
Recently the class of clopen continuous functions between topological spaces has been generalized by the definition of the class of almost clopen continuous functions. The aim of this paper is to reconsider this second class of functions from the perspective of change of topology. Indeed, we show that the concept of almost clopen continuity coincides with the classical notion of continuity provided that suitable changes are made to the topologies of the domain and codomain of the function. We investigate some of the consequences of this situation.