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SoftWeak θ-Continuity and Preservations of Soft Hyperconnectedness and Soft Near Compactness
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In this paper, we introduce a new weak form of soft continuity called soft weak θ-continuity in soft topological spaces and investigate the relationships between soft weak θ-continuity and θ-continuity (resp. soft weak continuity and soft δ-continuity). We obtain several characterizations of soft weak θ-continuity. Also, we give sufficient conditions for the equivalence between soft weak θ-continuity and soft θ-continuity (resp. soft δ-continuity). Moreover, we investigate the link between soft weak θ-continuity and weak θ-continuity in classical topology. Furthermore, via soft weak θ-continuity, we obtain preservation theorems of soft hyperconnectedness and soft near compactness. Finally, we obtain soft restriction, soft product, and soft graph theorems of soft weak θ-continuity.
American Scientific Publishing Group (ASPG) LLC
Title: SoftWeak θ-Continuity and Preservations of Soft Hyperconnectedness and Soft Near Compactness
Description:
In this paper, we introduce a new weak form of soft continuity called soft weak θ-continuity in soft topological spaces and investigate the relationships between soft weak θ-continuity and θ-continuity (resp.
soft weak continuity and soft δ-continuity).
We obtain several characterizations of soft weak θ-continuity.
Also, we give sufficient conditions for the equivalence between soft weak θ-continuity and soft θ-continuity (resp.
soft δ-continuity).
Moreover, we investigate the link between soft weak θ-continuity and weak θ-continuity in classical topology.
Furthermore, via soft weak θ-continuity, we obtain preservation theorems of soft hyperconnectedness and soft near compactness.
Finally, we obtain soft restriction, soft product, and soft graph theorems of soft weak θ-continuity.
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