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Square compactness and Lindelöf trees
We prove that every weakly square compact cardinal is a strong limit cardinal, and therefore weakly compact. We also study Aronszajn trees with no...
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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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Phragmén–Lindelöf theorems for a weakly elliptic equation with a nonlinear dynamical boundary condition
We establish two Phragmén–Lindelöf theorems for a fully nonlinear elliptic equation. We consider a dynamical boundary condition that includes both...
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On an Application of Phragmén–Lindelöf Method to Singular Fractional-Order Problem
In this paper, we present a novel approach by utilizing the modified Phragmén–Lindelöf method to study the singular fractional-order problem with...
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On star-cellular-Lindelöf spaces
Arhangel’skii (Sov Math Dokl 10:951–955, 1969) proved his famous theorem stating that every first-countable Lindelöf Hausdorff space has cardinality...
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The Picard-Lindelöf Theorem and continuation of solutions for measure differential equations
We obtain, by means of Banach’s Fixed Point Theorem, convergence for the Picard iterations associated to a general nonlinear system of measure...
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When is a cellular-countably-compact space, countably compact?
We continue the study of cellular-compact spaces and the larger class of cellular-countably-compact spaces. We give a number of sufficient conditions...
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Countable Strongly Annihilated Ideals in Commutative Rings
In this paper, we introduce and study the concept of countable strongly annihilated ideal in commutative rings, in particular in rings of continuous...
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Weakly compactly generated spaces and their relatives III
Projectional resolutions of the identity were a fundamental tool for elucidating the structure of WCG spaces, and one of the fundamental...
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