The reduced measure algebra and a \(K_ 1-\)space which is not \(K_ 0\).

DOI10.1016/0166-8641(82)90014-1zbMath0498.54017OpenAlexW2004102100MaRDI QIDQ1171301

Jan van Mill

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0166-8641(82)90014-1

zbMATH Keywords

CHweightnodec spaceextremally disconnected spacedense subspacedense subspace of the Stone space of the reduced measure algebraextremally disconnected dense in itself compact spacehereditarily Lindelöf separable K1-spaceK0-spaceK1-spaceLindelöf extension of the integersLuzin spacemonotone extendermonotone extension propertyreduced measure algebra

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Extension of maps (54C20)

Related Items (3)

Mary Ellen Rudin and monotone normality ⋮ Monotone normality ⋮ A construction that yields a nonacyclic monotonically normal space

Cites Work

• Some generalizations of metric spaces
• Dugundji extension theorems for linearly ordered spaces
• The density topology
• On stratifiable spaces
• An extension of Tietze's theorem
• On Nowhere Dense Closed P-Sets
• Simultaneous linear extension of Continuous functions
• Nonmetrizable Hereditarily Lindelof Spaces with Point-Countable Bases From CH
• Not Every K₁-Embedded Subspace is K₀-Embedded
• Some Extensions of the Tietze-Urysohn Theorem
• Monotonically Normal Spaces
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