Some notes on soft hyperconnected spaces. (English) Zbl 1443.54001
Summary: In the present study we aim to investigate several characterizations of the notion of soft hyperconnectedness and also discuss its fundamental properties. For this aim, we first introduce the concepts of soft door space, soft D-space and soft extremely disconnected space with illustrative examples. Then, we discuss the characterizations of soft hyperconnectedness by using proposed concepts and investigate some elementary properties. Moreover, we give the relationships among given concepts.
MSC:
| 54A05 | Topological spaces and generalizations (closure spaces, etc.) |
| 54A40 | Fuzzy topology |
| 54D05 | Connected and locally connected spaces (general aspects) |
| 54C08 | Weak and generalized continuity |
| 54C10 | Special maps on topological spaces (open, closed, perfect, etc.) |
| 06D72 | Fuzzy lattices (soft algebras) and related topics |
Keywords:
soft hyperconnected space; soft door space; soft D-space; soft extremely disconnected; soft almost s-continuousReferences:
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