The Density Character of the Space $$C_p(X)$$

DOI10.1007/978-3-319-05224-3_4zbMath1323.54002OpenAlexW119255347WikidataQ59330065 ScholiaQ59330065MaRDI QIDQ5263621

María Muñoz Guillermo, Juan Carlos Ferrando, Manuel López-Pellicer

Publication date: 17 July 2015

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-05224-3_4

zbMATH Keywords

locally convex spacedensity characterLindelöf \(\varSigma\)-spacespace of the continuous functionsweakly compact generated

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Research exposition (monographs, survey articles) pertaining to general topology (54-02)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some topological cardinal inequalities for spaces \(C_p(X)\)
• Lindelöf \(\Sigma\)-spaces: an omnipresent class
• Descriptive topology in selected topics of functional analysis
• Bounds using the index of Nagami
• Ensembles \(K\)-analytiques et \(K\)-souliniens. Cas général et cas métrique
• The number of weakly compact sets which generate a Banach space
• On compactness in locally convex spaces
• Topological properties of spaces of continuous functions
• Espaces de Banachs faiblement K-analytiques
• Sur la \(\mathcal K\)-analyticité de certains espaces d'opérateurs
• Compactoid filters and USCO maps.
• On K-analytic locally convex spaces
• The number of \(K\)-determination of topological spaces
• The structure of weakly compact sets in Banach spaces
• A problem of set-theoretic topology
• Power problems in abstract spaces
• Theory of capacities
• Pointwise Compactness in Spaces of Continuous Functions
• On a Theorem of Arhangel'skiĭ Concerning Lindelöf P-Spaces
• Weakly compactly generated locally convex spaces
• K‐analytic spaces with metrizable compacta
• On one generalization of weakly compactly generated Banach spaces
• The Density Character of Function Spaces
• Σ-spaces
• Cardinality of a space containing a dense part of a given cardinality
• A remark on density characters
• Functional analysis and infinite-dimensional geometry