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- W2113110133 abstract "In this chapter, we begin by proving the Brouwer and the Schauder fixed-point theorems. Then we turn to results on homeomorphisms of convex sets and spaces. We prove Keller’s theorem on homeomorphism of infinite-dimensional compact convex sets in Banach spaces to $${mathbb I}^{{mathbb N}}$$ . We also prove the Kadec theorem on the homeomorphism of every separable reflexive space to a Hilbert space. Then we prove some results on uniform, in particular Lipschitz, homeomorphisms." @default.
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- W2113110133 date "2010-10-18" @default.
- W2113110133 modified "2023-10-05" @default.
- W2113110133 title "Basics in Nonlinear Geometric Analysis" @default.
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- W2113110133 doi "https://doi.org/10.1007/978-1-4419-7515-7_12" @default.
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