Compactness on Upper Bounded T0 - Alexandroff Spaces

Hisham B. Mahdi

Abstract


The aim of this paper is to characterize several types of compactness on upper bounded Alexandroff spaces. We discuss the relations between these types under certain conditions. It is mainly shown that an Upper Bounded Alexandroff space  is closed if and only if it is quasi H-closed. In addition, it is semi-compact iff it is finite.


Keywords


Alexandroff space, compact, strongly compact, p-closed, QHC

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