Uncountably many mutually disjoint, dense and convex subsets of \(\ell^2\) with applications to path connected subsets of spheres

Publication date: 4 January 2010

Published in: Missouri Journal of Mathematical Sciences (Search for Journal in Brave)

zbMATH Keywords

affine subspaces mutually disjoint and path connected subsets uncountable collection

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Convex sets in topological linear spaces; Choquet theory (46A55) Convex sets in topological vector spaces (aspects of convex geometry) (52A07)

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