Zobrazeno 1 - 10
of 39
pro vyhledávání: '"54F45 (Primary)"'
Autor:
Decker, Bryce, Dalaklis, Nathan
We assign every metric space $X$ the value $t_{D}HD(X)$, an ordinal number or one of the symbols $-1$ or $\Omega$, and we call it the $D$-variant of transfinite Hausdorff dimension of $X$. This ordinal assignment is primarily constructed by way of th
Externí odkaz:
http://arxiv.org/abs/2411.07454
We define a simple obstruction to Yu's property A that we call $k$-prisms. This structure allows for a straightforward proof that the space of persistence diagrams fails to have property A in a Wasserstein metric.
Comment: Results have been modi
Comment: Results have been modi
Externí odkaz:
http://arxiv.org/abs/1902.02288
Autor:
Dydak, Jerzy
This paper is devoted to introducing coarse structures in a very simple way, namely as an equivalence relation on the set of simple ends. As an application we show that Gromov boundary of every hyperbolic space is an example of a Higson corona and ea
Externí odkaz:
http://arxiv.org/abs/1801.09580
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.
We combine aspects of the notions of finite decomposition complexity and asymptotic property C into a notion that we call finite APC-decomposition complexity. Any space with finite decomposition complexity has finite APC-decomposition complexity and
Externí odkaz:
http://arxiv.org/abs/1709.01119
Autor:
Dydak, Jerzy
We introduce matrix algebra of subsets in metric spaces and we apply it to improve results of Yamauchi and Davila regarding Asymptotic Property C. Here is a representative result: Suppose $X$ is an $\infty$-pseudo-metric space and $n\ge 0$ is an inte
Externí odkaz:
http://arxiv.org/abs/1612.06771
Autor:
Dydak, Jerzy
We formalize the concept of a family of metric spaces satisfying a coarse property uniformly and we generalize finite decomposition complexity of Erik Guentner, Romain Tessera, and Guoliang Yu. Of particular interest are results determining sufficien
Externí odkaz:
http://arxiv.org/abs/1611.00265
Autor:
Donne, Enrico Le, Rajala, Tapio
We study the Assouad dimension and the Nagata dimension of metric spaces. As a general result, we prove that the Nagata dimension of a metric space is always bounded from above by the Assouad dimension. Most of the paper is devoted to the study of wh
Externí odkaz:
http://arxiv.org/abs/1306.5859
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
Autor:
Dydak, Jerzy
Overlays were introduced by R. H. Fox [6] as a subclass of covering maps. We offer a different view of overlays: it resembles the definition of paracompact spaces via star refinements of open covers. One introduces covering structures for covering ma
Externí odkaz:
http://arxiv.org/abs/1301.0477