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- W2044671229 abstract "Let X and Y be metric spaces. Let $G(X)$ be the group of homeomorphisms of X with the compact open topology. The main result of this paper is that if X admits a nontrivial flow, then $G(X)$ is homeomorphic to $G(X) times {l_2}$ where ${l_2}$ is separable infinite-dimensional Hilbert space. The techniques are applied to other function spaces with the same result. Two such spaces for which our techniques apply are the space of imbeddings of X into Y, $E(X,Y)$, and the space of light open mappings of X into (or onto) Y, LO (X, Y). Some applications of these results are given. The paper also uses flows to show that if X is the $sin (1/x)$-curve, then $G(X)$ is homeomorphic to ${l_2} times N$, where N is the integers." @default.
- W2044671229 created "2016-06-24" @default.
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- W2044671229 date "1971-01-01" @default.
- W2044671229 modified "2023-09-25" @default.
- W2044671229 title "Using flows to construct Hilbert space factors of function spaces" @default.
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- W2044671229 doi "https://doi.org/10.1090/s0002-9947-1971-0283751-8" @default.
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