Abstract:
Aim of this paper is to obtain a new class of separation known as Ω-compact Spaces. Their properties are investigated in terms of nets, filterbase and Ω-complete accumulation point. Also I-lower (resp.upper) Ω-continuous and Ω-multifunctions have been introduced to study Ω-compact spaces.
Keywords: Ω-closed sets., Ω-complete accumulation point., Ω-compactness., Ω-multifunctions.
2010 Mathematics Subject Classification : 57C05, 57D05.