### Impacto

Cuchillo Ibáñez, Eduardo and Morón, Manuel A. and Romero Ruiz del Portal, Francisco
(1999)
*A note on isomorphic groups and nonhomeomorphic spaces.*
Acta Mathematica Hungarica, 82
(4).
pp. 297-300.
ISSN 0236-5294

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Official URL: http://www.springerlink.com/content/t4270834m838740p/fulltext.pdf

## 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".

Item Type: | Article |
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Uncontrolled Keywords: | Isomorphic groups; nonhomeomorphic spaces; homeomorphisms; topological spaces |

Subjects: | Sciences > Mathematics > Group Theory Sciences > Mathematics > Topology |

ID Code: | 15522 |

References: | 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. |

Deposited On: | 07 Jun 2012 08:24 |

Last Modified: | 06 Feb 2014 10:26 |

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