Large separated sets of unit vectors in Banach spaces of continuous functions

DOI10.4064/cm7648-1-2019zbMath1430.46008arXiv1712.00478OpenAlexW3099427467WikidataQ128088991 ScholiaQ128088991MaRDI QIDQ5226495

Marek Cúth, Benjamin Vejnar, Ondřej Kurka

Publication date: 31 July 2019

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.00478

zbMATH Keywords

Banach space of continuous functionsequilateral set\((1+)\)-separated set

Mathematics Subject Classification ID

Compactness (54D30) Geometry and structure of normed linear spaces (46B20) Classical Banach spaces in the general theory (46B25) Isometric theory of Banach spaces (46B04) Nonseparable Banach spaces (46B26)

Related Items (2)

BANACH SPACES IN WHICH LARGE SUBSETS OF SPHERES CONCENTRATE ⋮ Separated sets and Auerbach systems in Banach spaces

Cites Work

• Uncountable equilateral sets in Banach spaces of the form \(C(K)\)
• Concerning continua which are continuous images of compact ordered spaces
• A \(C_p\)-theory problem book. Special features of function spaces
• Equilateral sets in Banach spaces of the form $C(K)$
• Uncountable sets of unit vectors that are separated by more than 1
• Partition Relations
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