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On topological properties of the Hartman-Mycielski functor |
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| Authors: | Taras Radul Dušan Repovš |
| Institution: | (1) Departmento de Matematicas, Facultad de Cs. Fisicas y Matematicas, Universidad de Concepcion, Casilla 160-C, Concepcion, Chile;(2) Institute for Mathematics, Physics and Mechanics, University of Ljubljana, Jadranska 19, 1001 Ljubljana, Slovenia |
| Abstract: | We investigate some topological properties of a normal functorH introduced earlier by Radul which is some functorial compactification of the Hartman-Mycielski construction HM. We prove that the pair (H X, HMY) is homeomorphic to the pair (Q, σ) for each nondegenerated metrizable compactumX and each denseσ-compact subsetY. |
| Keywords: | Hilbert cube Hartman-Mycielski construction equiconnected space normal functor metrizable compactum absolute retract |
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