Cuchillo Ibáñez, Eduardo and Alonso Morón , Manuel 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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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 |
|---|---|
| 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 10:24 |
| Last Modified: | 07 Jun 2012 10:24 |
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