2019
Том 71
№ 9

All Issues

Zarichnyi M. M.

Articles: 6
Article (English)

On the asymptotic extension dimension

Repovš D., Zarichnyi M. M.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 2010. - 62, № 11. - pp. 1523–1530

We introduce an asymptotic counterpart of the extension dimension defined by Dranishnikov. The main result establishes the relationship between the asymptotic extensional dimension of a proper metric space and the extension dimension of its Higson corona.

Chronicles (Ukrainian)

Еhird summer school algebra, analysis and topology

Gutik O. V., Zarichnyi M. M.

Ukr. Mat. Zh. - 2006. - 58, № 2. - pp. 288-289

Chronicles (Ukrainian)

Еhird summer school algebra, analysis and topology

Zarichnyi M. M.

Full text (.pdf)

Ukr. Mat. Zh. - 2006. - 58, № 1. - pp. 288-289

Article (Ukrainian)

On the Hyperspace of Convex Compact Subsets of the Tikhonov Cube

Ivanov A. S., Zarichnyi M. M.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 2001. - 53, № 5. - pp. 698-701

We prove that the hyperspace of compact convex subsets of the Tikhonov cube \(I^{\omega_1}\) is homeomorphic to \(I^{\omega_1}\) .

Brief Communications (English)

Lifting functors to Eilenberg-Moore category of monad generated by functor $C_p C_p$

Pikhurko О. B., Zarichnyi M. M.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 1992. - 44, № 9. - pp. 1289–1291

The second iteration of the contravariant functor of spaces of continuous functions in the pointwise convergence topology is a functorial part of a monad (triple) on the category of Tikhonov spaces. The problem of lifting functors to the Eilenberg-Moore category of this monad is investigated.

Article (Ukrainian)

The superextension monad and its algebras

Zarichnyi M. M.

Full text (.pdf)

Ukr. Mat. Zh. - 1987. - 39, № 3. - pp. 303–309