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Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.

2 votes
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462 views

Homeomorphisms between infinite-dimensional Banach spaces and their spheres

As I know Cz. Bessaga has proved that an infinite-dimensional Banach space is homeomorphic to its unit sphere. Unfortunately I do not have his book but I want to know is this theorem true without depe …