TY - JOUR
A2 - Wilson, Richard
AU - Al-Omari, Ahmad
AU - Noiri, Takashi
AU - Noorani, Mohd. Salmi Md.
PY - 2009
DA - 2009/11/05
TI - Characterizations of Strongly Compact Spaces
SP - 573038
VL - 2009
AB - A topological space (X,τ) is said to be strongly compact if every preopen cover of (X,τ) admits a finite subcover. In this paper, we introduce a new class of sets called 𝒩-preopen sets which is weaker than both open sets and 𝒩-open sets. Where a subset A is said to be 𝒩-preopen if for each x∈A there exists a preopen set Ux containing x such that Ux−A is a finiteset. We investigate some properties of the sets. Moreover, we obtain new characterizations and preserving theorems of strongly compact spaces.
SN - 0161-1712
UR - https://doi.org/10.1155/2009/573038
DO - 10.1155/2009/573038
JF - International Journal of Mathematics and Mathematical Sciences
PB - Hindawi Publishing Corporation
KW -
ER -