Abstract
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.
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| Acta Mathematica Hungarica | |
|---|---|
| Language | English |
| Size | B5 |
| Year of Foundation |
1950 |
| Volumes per Year |
3 |
| Issues per Year |
6 |
| Founder | Magyar Tudományos Akadémia  |
| Founder's Address |
H-1051 Budapest, Hungary, Széchenyi István tér 9. |
| Publisher | Akadémiai Kiadó Springer Nature Switzerland AG |
| Publisher's Address |
H-1117 Budapest, Hungary 1516 Budapest, PO Box 245. CH-6330 Cham, Switzerland Gewerbestrasse 11. |
| Responsible Publisher |
Chief Executive Officer, Akadémiai Kiadó |
| ISSN | 0236-5294 (Print) |
| ISSN | 1588-2632 (Online) |
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