Compact and extremally disconnected spaces via generalized continuous functions

  • Zeinab Bandpey Morgan State University
  • Bhamini M. P. Nayar Morgan State University
Keywords: α-sets, u-continuous, αu-continuous functions, Compact, C-compact, Compact and extremally disconnected spaces

Abstract

In [12], the class of compact and extremally dinconnected spaces were studied using several investigative tools such as filters, graphs, functions, multifuctions and subsets of the space. These different approaches of investigation produced significant charecterizations and properties of this important class of spaces. In [3] we introduced three forms of generalized continuous functions by studying the class of u-continuous functions of Joseph, Kwack and Nayar [9] using the concepts of an α-set of Njastad [13]. The generalized continuous forms introduced there are: αu-continuous, semi-αu-contnuous and strongly u-continuous functions. In the present study we investigate the class of compact and extremally disconnected spaces using these generalized continuous functions.

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Published
2019-02-09
How to Cite
Bandpey, Z., & Nayar, B. M. P. (2019). Compact and extremally disconnected spaces via generalized continuous functions. Journal of Advanced Studies in Topology, 10(1), 28-34. https://doi.org/10.20454/jast.2019.1507
Section
Original Articles