Remarks on QHC and \(\theta\)-closed sets

Navpreet Singh Noorie, Anakh Singh
2014 Journal of Advanced Studies in Topology  
We study θ-closedness of QHC sets in weakly Urysohn spaces (henceforth called S 2 1 2 spaces). Among other results we obtain necessary and sufficient conditions for a QHC set to be θ-closed in S 2 1 2 and normal spaces. We also obtain the equality of the closure and θ-closure of QHC sets in S 2 1 2 spaces and prove the equivalence of regularity and S 2 1 2 in rim QHC spaces.
doi:10.20454/jast.2014.842 fatcat:xb2kljy2nfhnzk73covh4cqxva