Definition 1
A topological space X is called θ-compact if every cover of the space by θ-open sets has a finite subcover.
Definition 2
Let X be a topological space and F be its subset. F is called θ-compact if for every cover U of F by open sets of X, there exists a finite members of U such that covers F.
Reference
- Definition 1
- Mohammad Saleh, Onθ-closed sets and some forms of continuity, Archivum mathematicum (BRNO) Tomus 40 (2004), 383-393.
- Definition 2
- M. Caldas and G. Navalagi, On weak forms of preopen and preclosed, Archivum Mathematicum (BRNO) Tomus 40 (2004), 119-128.