AbstractIf there exists a monotonically normal space X with a λ-linked but not λ-centred base, plus certain other properties, then there is a nonacyclic monotonically normal space. It is shown that X must be hereditarily λ-Lindelöf and has density > λ. Also X cannot be a GO space since it is established that any λ-linked base for a GO space is λ-centred
AbstractThe basic cardinal invariants of monotonically normal spaces are determined. The gap between...
AbstractWe prove that if X is a paracompact monotonically normal space, and Y has a point-countable ...
AbstractIn this paper we examine the role of the β-space property (equivalently of the MCM-property)...
AbstractA space X is acyclic monotonically normal if it has a monotonically normal operator M〈·,·〉 s...
AbstractWe generalize M.E. Rudin's construction in a geometric way to produce various non-acyclic, m...
AbstractA space X is acyclic monotonically normal if it has a monotonically normal operator M〈·,·〉 s...
AbstractWe prove that if X is a paracompact monotonically normal space, and Y has a point-countable ...
AbstractWe show that a compact Hausdorff, hereditarily Lindelöf, monolithic, monotonically normal sp...
AbstractA locally compact monotonically normal space having no compactification which is monotonical...
AbstractIn this paper we examine the role of the β-space property (equivalently of the MCM-property)...
AbstractWe give examples to show that a k-and-ℵ space need not be normal and that, under MA+¬CH, a k...
summary:For a compact monotonically normal space X we prove: \, (1) \, $X$ has a dense set of points...
summary:For a compact monotonically normal space X we prove: \, (1) \, $X$ has a dense set of points...
AbstractWe prove that the cyclic monotonically normal space T of Rudin is not a J2-space. Consequent...
AbstractIn this note, we show that a monotonically normal space that is monotonically countably meta...
AbstractThe basic cardinal invariants of monotonically normal spaces are determined. The gap between...
AbstractWe prove that if X is a paracompact monotonically normal space, and Y has a point-countable ...
AbstractIn this paper we examine the role of the β-space property (equivalently of the MCM-property)...
AbstractA space X is acyclic monotonically normal if it has a monotonically normal operator M〈·,·〉 s...
AbstractWe generalize M.E. Rudin's construction in a geometric way to produce various non-acyclic, m...
AbstractA space X is acyclic monotonically normal if it has a monotonically normal operator M〈·,·〉 s...
AbstractWe prove that if X is a paracompact monotonically normal space, and Y has a point-countable ...
AbstractWe show that a compact Hausdorff, hereditarily Lindelöf, monolithic, monotonically normal sp...
AbstractA locally compact monotonically normal space having no compactification which is monotonical...
AbstractIn this paper we examine the role of the β-space property (equivalently of the MCM-property)...
AbstractWe give examples to show that a k-and-ℵ space need not be normal and that, under MA+¬CH, a k...
summary:For a compact monotonically normal space X we prove: \, (1) \, $X$ has a dense set of points...
summary:For a compact monotonically normal space X we prove: \, (1) \, $X$ has a dense set of points...
AbstractWe prove that the cyclic monotonically normal space T of Rudin is not a J2-space. Consequent...
AbstractIn this note, we show that a monotonically normal space that is monotonically countably meta...
AbstractThe basic cardinal invariants of monotonically normal spaces are determined. The gap between...
AbstractWe prove that if X is a paracompact monotonically normal space, and Y has a point-countable ...
AbstractIn this paper we examine the role of the β-space property (equivalently of the MCM-property)...
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