Zobrazeno 1 - 10
of 43
pro vyhledávání: '"Zarichnyi, Michael"'
Autor:
Kucab, Jacek, Zarichnyi, Michael
Using a result of Dranishnikov and Smith we prove that, under some conditions, the asymptotic power dimension of a proper metric space coincides with the dimension of its subpower corona.
Comment: 5 pages
Comment: 5 pages
Externí odkaz:
http://arxiv.org/abs/1512.07739
The notion of the decomposition complexity was introduced in \cite{GTY} using a game theoretical approach. We introduce a notion of straight decomposition complexity and compare it with the original as well with the asymptotic property C. Then we def
Externí odkaz:
http://arxiv.org/abs/1301.3484
Publikováno v:
Carpathian Math. Publ. 4:1 (2012) 4-12
We prove that a monomorphic functor $F:Comp\to Comp$ with finite supports is epimorphic, continuous, and its maximal $\emptyset$-modification $F^\circ$ preserves intersections. This implies that a monomorphic functor $F:Comp\to Comp$ of finite degree
Externí odkaz:
http://arxiv.org/abs/1004.0457
Publikováno v:
Topology and Its Applications 157:1 (2010),136-144.
We investigate certain geometric properties of the spaces of idempotent measures. In particular, we prove that the space of idempotent measures on an infinite compact metric space is homeomorphic to the Hilbert cube.
Externí odkaz:
http://arxiv.org/abs/0803.4252
Publikováno v:
Topology and Its Applications 155:8 (2008), 764-772.
Our main result states that the hyperspace of convex compact subsets of a compact convex subset $X$ in a locally convex space is an absolute retract if and only if $X$ is an absolute retract of weight $\le\omega_1$. It is also proved that the hypersp
Externí odkaz:
http://arxiv.org/abs/0803.4243
Autor:
Zarichnyi, Michael
The set of all idempotent probability measures (Maslov measures) on a compact Hausdorff space endowed with the weak* topology determines is functorial on the category $\comp$ of compact Hausdorff spaces. We prove that the obtained functor is normal i
Externí odkaz:
http://arxiv.org/abs/math/0608754
Autor:
Zarichnyi, Michael
We provide an example of a zero-dimensional compact metric space $X$ and its closed subspace $A$ such that there is no continuous linear extension operator for the Lipschitz pseudometrics on $A$ to the Lipschitz pseudometrics on $X$. The construction
Externí odkaz:
http://arxiv.org/abs/math/0408200
Publikováno v:
In Topology and its Applications 15 August 2017 227:102-110
Publikováno v:
In Topology and its Applications 1 June 2014 169:99-107
Publikováno v:
In Topology and its Applications 15 March 2013 160(5):673-681