A broader context for monotonically monolithic spaces

DOI10.1007/S10474-009-9034-9zbMath1274.54043OpenAlexW2047814950MaRDI QIDQ1945250

Richard G. Wilson, Ofelia Teresa Alas, Vladimir V. Tkachuk

Publication date: 5 April 2013

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-009-9034-9

zbMATH Keywords

function spaceordinal spacemonotonically monolithic spacelinearly ordered topological spacecalibermonolithic spacemonotonically \(\kappa\)-monolithic spacestrongly monotonically monolithic spacestrongly monolithic spacestrongly monotonically \(\kappa\)-monolithic space

Mathematics Subject Classification ID

Continuous maps (54C05) Compactness (54D30) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Product spaces in general topology (54B10)

Related Items (12)

A study on \(D\)-spaces and the metrizability of compact spaces with property (\(\sigma \)-A) ⋮ Families of continuous retractions and function spaces ⋮ Unnamed Item ⋮ Monotone pseudobase assignments and Lindelöf \(\Sigma\)-property ⋮ Countably compact spaces with \(n\)-in-countable weak bases are metrizable ⋮ The Collins-Roscoe property and its applications in the theory of function spaces ⋮ Monotonically monolithic spaces, Corson compacts, and \(D\)-spaces ⋮ On monotone stability ⋮ The D-property of monotone covering properties and related conclusions ⋮ On some monotone properties ⋮ Lindelöf \(\Sigma\)-spaces: an omnipresent class ⋮ \(D\)-property, monotone monolithicity and function spaces

Cites Work

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• Monolithic spaces and \(D\)-spaces revisited
• A pseudocompact space in which only the sets of incomplete cardinality are not closed and not discrete
• Scattered Compactifications and the Orderability of Scattered Spaces. II
• 𝐷-spaces and finite unions
• Hereditary D-property of function spaces over compacta
• A Note on Point-Countability in Linearly Ordered Spaces
• A note on \(D\)-spaces

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