Definition
A topological space is called nearly compact iff every regular open cover has a finite subcover.
Property
- [Singal-Mathur] A topological space X is nearly compact iff every open cover U of X has a finite subfamily F such that cover X.
Remark
- Abbreviated to n-compact.
Reference
- J. Dontchev, M. Ganster and T. Noiri, On p-closed spaces, Internat. J. Math. & Math. Sci. Vol.24, No.3 (2000) pp.203-212.
- M.K. Singal and Asha Mathur, On nearly-compact spaces, Boll. Un. Mat. Ital. (4) 2(1969), 702-710.