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Compact productivity of Lindelöf-type properties
A subclass of the class of feebly Lindelöf spaces, namely the almost cellular-Lindelöf spaces, which contains the class of all cellular-Lindelöf...
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Cellular-compact spaces and their applications
We introduce the notion of a cellular-compact space and prove that cellular compactness is a nice property that implies cellular Lindelöfness. The...
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Maximal densely countably compact topologies
A topological space X is densely countably compact if it possesses a dense subspace D with the property that every infinite subset of D has an...
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On relaxations of contraction constants and Caristi’s theorem in b-metric spaces
In this paper, the following facts are stated in the setting of b -metric spaces.
(1) The contraction constant in the Banach contraction principle...
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Maximal countably compact spaces and embeddings in MP-spaces
We study embeddings in maximal pseudocompact spaces together with maximal countable compactness in the class of Tychonoff spaces. It is proved that...
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B-saturated Hull Classes in ℓ-groups and Covering Classes of Spaces
W denotes the category of archimedean ℓ -groups with designated weak unit and ℓ -homomorphisms that preserve the weak unit, and B is the bounded...
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On hull classes of ℓ-groups and covering classes of spaces
W denotes the category of archimedean ℓ -groups with designated weak unit and ℓ -homomorphisms that preserve the weak unit. Comp denotes the category...
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Supercomplete topological spaces
Supercomplete topological spaces and other variants of supercompleteness are defined in this paper. The main idea is to give different...
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Ultracomplete Topological Spaces
In 1987 V. I. Ponomarev and V. V. Tkachuk characterized strongly complete topological spaces as those spaces which have countable character in their...
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