Calibers and point-finite cellularity of the space Cp(X) and some questions of S. Gul'ko and M. Hušek

DOI10.1016/0166-8641(86)90017-9zbMath0591.54023OpenAlexW2003202704MaRDI QIDQ1074903

Vladimir V. Tkachuk, Alexander V. Arhangel'skii

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0166-8641(86)90017-9

zbMATH Keywords

hypothesiscontinuumtightnesstopology of pointwise convergencecaliberextremally disconnected spaceprecaliberpoint-finite cellularityTikhonov spaces\(\tau \) -accessibilityAlexandroff numberinaccessible setsupersequence

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Metric spaces, metrizability (54E35) Realcompactness and realcompactification (54D60) Compact (locally compact) metric spaces (54E45) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Consistency and independence results in general topology (54A35) Extremally disconnected spaces, (F)-spaces, etc. (54G05)

Related Items (10)

Small diagonal of \(X\) and calibers of \(C_{p}(X)\) ⋮ Algebraic objects generated by topological structure ⋮ Metrizable compacta in the space of continuous functions with the topology of pointwise convergence ⋮ Chain conditions and continuous mappings on \(C_ p(X)\) ⋮ On spread and condensations ⋮ On the weight-spectrum of a compact space ⋮ Chain conditions and weak topologies ⋮ Some observations on \(C_p\)-theory and bibliography ⋮ Pseudocompact Mal'tsev spaces ⋮ Special issue on \(C_p(X)\)-theory

Cites Work

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