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A note on isomorphic groups and nonhomeomorphic spaces

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Publication Date
1999
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Akadémiai Kiadó
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Abstract
Given a Tychonov space X we can construct another space Y with the same group of homeomorphisms such that X and Y are: in some sense, "almost arbitrarily different".
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Grupos (Matemáticas) , Topología
Unesco subjects
1210 Topología
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E. Cuchillo-Ibáñez, M. A. Morón and F. R. Ruiz del Portal, Lower semifinite topology in hyperspaces, Top. Proc. 17 (1992), 29-39. R. Engelking, General Topology, P. N. W. (Warszawa, 1977). R. A. McCoy, Homeomorphism groups of Hilbert cube manifolds, General Topology Appl.,2 (1972), 55-60. E. Michael, Topology on spaces of subsets, Trans. A.M.S., 71 (1951), 152-182. M. Rubin, On the reconstruction of topological spaces from their groups of homeomorphisms, Trans. A.M.S., 312 (1989), 487-538. J. van Mills, Infinite-dimensional Topology, North-Holland (Amsterdam, 1989). J. V. Whittaker, On isomorphic groups and homeomorphic spaces, Ann. of Math., 78 (1963),74-91.
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https://hdl.handle.net/20.500.14352/57325
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