Uncountably many mutually disjoint, simply connected, contractible and Fréchet differentiable subsets of the sphere in \(\ell^2\), each of which is dense in the sphere

Publication date: 2 September 2010

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

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Geometry and structure of normed linear spaces (46B20) Peculiar topological spaces (54G99)

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