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- T Radul
- 2005

We prove addition and subspace theorems for asymptotic large inductive dimension. We investigate a transfinite extension of this dimension and show that it is trivial. 0. Asymptotic dimension asdim of a metric space was defined by Gromov for studying asymptotic invariants of discrete groups [1]. This dimension can be considered as asymptotic analogue of the… (More)

- T Radul
- 2006

We prove that a transfinite extension of asymptotic dimension asind is trivial. We introduce a transfinite extension of asymptotic dimension asdim and give an example of metric proper space which has transfinite infinite dimension. 0. Asymptotic dimension asdim of a metric space was defined by Gromov for studying asymptotic invariants of discrete groups… (More)

- Taras Radul
- 2004

We investigate some topological properties of a normal functor H introduced earlier by Radul which is some functorial compactification of the Hartman– Mycielski construction HM. We prove that the pair (HX, HMY) is homeomorphic to the pair (Q, σ) for each nondegenerated metrizable compactum X and each dense σ-compact subset Y .

- Taras Radul
- 2008

We investigate some topological properties of a normal functor H introduced earlier by Radul which is a certain functorial compactification of the Hartman-Mycielski construction HM. We show that H is open and find the condition when HX is an absolute retract homeomorphic to the Tychonov cube.

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