Abstract
Each sphere in $\ell^{2}$ contains uncountably many mutually disjoint, simply connected, Frechet differentiable and contractible subsets, each of which is dense in the sphere.
Citation
Sam H. Creswell. "Uncountably Many Mutually Disjoint, Simply Connected, Contractible and Frechet Differentiable Subsets of the Sphere in $\ell^2$, Each of Which is Dense in the Sphere." Missouri J. Math. Sci. 22 (1) 3 - 9, February 2010. https://doi.org/10.35834/mjms/1312232715
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