Dually discrete spaces

DOI10.1016/j.topol.2008.04.003zbMath1169.54010OpenAlexW2008989924MaRDI QIDQ930746

Lucia R. Junqueira, Richard G. Wilson, Ofelia Teresa Alas

Publication date: 1 July 2008

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2008.04.003

zbMATH Keywords

GO-spaceneighborhood assignmentdually discrete spaceD-spaces

Mathematics Subject Classification ID

Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Product spaces in general topology (54B10)

Related Items (22)

On the \(D\)-property of certain products ⋮ Dually properties and cardinal inequalities ⋮ Monotone normality and neighborhood assignments ⋮ The \(D\)-property which relates to certain covering properties ⋮ Notes on the Collins-Roscoe property and \(D\)-spaces ⋮ A study of chain conditions and dually properties ⋮ The \(D\)-property of finite unions of \(t\)-metrizable spaces and certain function spaces ⋮ Lindelöf spaces which are Menger, Hurewicz, Alster, productive, or \(D\) ⋮ The product of two ordinals is hereditarily dually discrete ⋮ Monotone properties defined from stars of open coverings ⋮ Weak duals and neighbourhood assignments ⋮ A new class of spaces with all finite powers Lindelöf ⋮ Dual properties of monotonically normal spaces and generalized trees ⋮ A finite product of ordinals is hereditarily dually discrete ⋮ Dual properties and monotone normality ⋮ Dual properties of subspaces in products of ordinals ⋮ Cardinal invariants of dually CCC spaces ⋮ Weakly dually Lindelöf spaces ⋮ Finite unions of weak \(\overline \theta\)-refinable spaces and products of ordinals ⋮ On monotonically normal and transitively (linearly) dually discrete spaces ⋮ Products of certain dually discrete spaces ⋮ A 0-dimensional, Lindelöf space that is not strongly D

Cites Work

• Classes defined by stars and neighbourhood assignments
• Combinatorial set theory: Partition relations for cardinals
• A technique for constructing honest locally compact submetrizable examples
• Some properties of the Sorgenfrey line and related spaces
• On complete accumulation points of discrete subsets
• Normality and paracompactness in finite and countable Cartesian products
• 𝐷-spaces and finite unions
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