On the problem of compact totally disconnected reflection of nonmetrizability

DOI10.1016/j.topol.2016.08.017zbMath1354.54021arXiv1509.05282OpenAlexW2963113024MaRDI QIDQ330059

Piotr Koszmider

Publication date: 24 October 2016

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

Full work available at URL: https://arxiv.org/abs/1509.05282

zbMATH Keywords

reflectionopen coloring axiomtotally disconnectedLuzin setBanach spaces of continuous functionssplit interval

Mathematics Subject Classification ID

Compactness (54D30) Classical Banach spaces in the general theory (46B25) Consistency and independence results (03E35)

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Cites Work

• A continuous image of a Radon-Nikodým compact space which is not Radon-Nikodým
• A survey on Banach spaces \(C(K)\) with few operators
• Locally connected hereditarily Lindelöf compacta
• \(CH\), a problem of Rolewicz and bidiscrete systems
• On a problem of Rolewicz about Banach spaces that admit support sets
• Measures on Boolean algebras
• New proofs of the consistency of the normal Moore space conjecture. II
• Chain conditions and weak topologies
• Martin's axiom does not imply that every two \(chi_ 1-\)dense sets of reals are isomorphic
• Order types, calibres and spread of Corson compacta
• Semimorasses and nonreflection at singular cardinals
• Banach spaces of continuous functions with few operators
• Biorthogonal systems and quotient spaces via Baire category methods
• On injective Banach spaces and the spaces \(L^ \infty(\mu)\) for finite measures \(\mu\)
• Uncountable sets of unit vectors that are separated by more than 1
• Equilateral sets in infinite dimensional Banach spaces
• Some topological invariants and biorthogonal systems in Banach spaces
• On biorthogonal systems whose functionals are finitely supported
• An Empty Class of Nonmetric Spaces
• Spaces of continuous functions (IV). (On isomorphical classification of spaces of continuous functions).
• Banach Space Properties of Ciesielski-Pol's C(K) Space
• Partition Problems in Topology
• On Countably Compact, Perfectly Normal Spaces
• Compact subsets of the first Baire class
• Continuous mappings induced by isometries of spaces of continuous functions
• On a Lemma of Milutin Concerning Averaging Operators in Continuous Function Spaces
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