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We apply elementary substructures to characterize the space for Corson-compact spaces. As a result, we prove that a compact space is Corson-compact, if can be represented as a continuous image of a closed subspace of , where is compact and denotes the canonical Lindelöf space of cardinality with one non-isolated point. This answers a question of Archangelskij [2].
In this paper the concept of fuzzy nearly C-compactness is introduced in fuzzy topological spaces and fuzzy bitopological spaces. Several characterizations and some interesting properties of these spaces are discussed. The properties of fuzzy almost continuous and fuzzy almost open functions are also discussed.
We describe properties of subalgebras and BCC-ideals in BCC-algebras with a topology induced by a family of fuzzy sets.
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