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Mappings and some decompositions of continuity on nearly Lindelöf spaces |
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| Authors: | A J Fawakhreh A Kiliçman |
| Institution: | (1) Department of Mathematics, University Putra Malaysia, 43400 Upm, Serdang, Selangor, Malaysia |
| Abstract: | A topological space (X, π) is said to be nearly Lindelöf if every regularly open cover of (X, π) has a countable subcover. In this paper we study the effect of mappings and some decompositions of continuity on nearly Lindelöf spaces. The main result is that a δ-continuous image of a nearly Lindelöf space is nearly Lindelöf. |
| Keywords: | almost continuous nearly Lindel?f spaces R-map β -continuous almost β -continuous almost precontinuous functions Lindel?f |
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