Independent form of (θ, s)-continuous functions in topological spaces

Abstract: We introduce a new class of almost contra-P β -continuous functions which is a subclass of the class of almost contra-precontinuous functions [8]. This class contains the classes of regular set connected functions, perfectly continuous functions and contra-P β -continuo...

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Autores principales: Tyagi,Brij K., Singh,Sumit, Bhardwaj,Manoj
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2020
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000300495
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Sumario:Abstract: We introduce a new class of almost contra-P β -continuous functions which is a subclass of the class of almost contra-precontinuous functions [8]. This class contains the classes of regular set connected functions, perfectly continuous functions and contra-P β -continuous functions. It is shown that almost contra-P β -continuity is independent to (θ, s)-continuity [12] and contra-precontinuity [11]. Furthermore, we obtain basic properties and preservations theorems for almost contra-P β -continuity.