Zobrazeno 1 - 10
of 106
pro vyhledávání: '"Kubiś, W."'
A central role in topological dimension theory is played by Lipscomb's space $J_{A}$ since it is a universal space for metric spaces of weight $|A|\geq \aleph _{0}$. On the one hand, Lipscomb's space is the attractor of a possibly infinite iterated f
Externí odkaz:
http://arxiv.org/abs/2309.11102
We develop the theory of homogeneous Polish ultrametric structures. Our starting point is a Fraisse class of finite structures and the crucial tool is the universal homogeneous epimorphism. The new Fraisse limit is an inverse limit, nevertheless its
Externí odkaz:
http://arxiv.org/abs/2301.10953
Publikováno v:
Israel Journal of Mathematics 249 (2022) 37--81
We study Vietoris hyperspaces of closed and closed final sets of Priestley spaces. We are particularly interested in Skula topologies. A topological space is \emph{Skula} if its topology is generated by differences of open sets of another topology. A
Externí odkaz:
http://arxiv.org/abs/2007.12890
Publikováno v:
Journal of Mathematical Analysis and Applications 479 (2019) 2076--2089
We show that every homeomorphism between closed measure zero subsets extends to a measure preserving auto-homeomorphism, whenever the Cantor set is endowed with a suitable probability measure. This is valid both for the standard product measure, as w
Externí odkaz:
http://arxiv.org/abs/1812.09565
Autor:
Kubis, W., Shelah, S.
Publikováno v:
Journal of Symbolic Logic 85 (2020) 817--827
We present three examples of countable homogeneous structures (also called Fraisse limits) whose automorphism groups are not universal, namely, fail to contain isomorphic copies of all automorphism groups of their substructures. Our first example is
Externí odkaz:
http://arxiv.org/abs/1811.09650
Autor:
Kubiś, W.
Publikováno v:
Archiv der Mathematik 110 (2018) 53--59
We present a simple and natural infinite game building an increasing chain of finite-dimensional Banach spaces. We show that one of the players has a strategy with the property that, no matter how the other player plays, the completion of the union o
Externí odkaz:
http://arxiv.org/abs/1604.06950
Publikováno v:
J. Funct. Anal. 272(5): 1876-1891, 2017
The Gurari\u{\i} space is the unique separable Banach space $\mathbb{G}$ which is of almost universal disposition for finite-dimensional Banach spaces, which means that for every $\varepsilon>0$, for all finite-dimensional normed spaces $E \subseteq
Externí odkaz:
http://arxiv.org/abs/1603.06361
Publikováno v:
J. Math. Anal. Appl. 432 (2015), no. 2, 1183--1199
We start the systematic study of Fr\'{e}chet spaces which are $\aleph$-spaces in the weak topology. A topological space $X$ is an $\aleph_0$-space or an $\aleph$-space if $X$ has a countable $k$-network or a $\sigma$-locally finite $k$-network, respe
Externí odkaz:
http://arxiv.org/abs/1412.1748
Autor:
Kubiś, W., Leiderman, A.
Publikováno v:
Topology Proc. 28 (2004), no. 2, 603--616
We investigate the class of compact spaces which are embeddable into a power of the real line $R^\kappa$ in such a way that c_0(\kappa) is dense in the image. We show that this is a proper subclass of the class of Valdivia, even when restricted to Co
Externí odkaz:
http://arxiv.org/abs/math/0407222
Autor:
Kubiś, W.
The purpose of this note is to give the full and self-contained proof of Shchepin's result on a spectral representation of retracts of cubes.
Comment: 4 pages. This note is not intended for a publication
Comment: 4 pages. This note is not intended for a publication
Externí odkaz:
http://arxiv.org/abs/math/0407196