Zobrazeno 1 - 10
of 199
pro vyhledávání: '"Kubiś, Wiesław"'
Autor:
Kubiś, Wiesław, Kuhlmann, Franz-Viktor
We study spherical completeness of ball spaces and its stability under expansions. We give some criteria for ball spaces that guarantee that spherical completeness is preserved when the ball space is closed under unions of chains. This applies in par
Externí odkaz:
http://arxiv.org/abs/2404.03597
We show that an embedding of a fixed 0-dimensional compact space $K$ into the \v{C}ech--Stone remainder $\omega^*$ as a nowhere dense P-set is the unique generic limit, a special object in the category consisting of all continuous maps from $K$ to co
Externí odkaz:
http://arxiv.org/abs/2310.05043
Autor:
Kubiś, Wieslaw
Motivated by a recent work of Balcerzak and Kania [Proc. Amer. Math. Soc. 151 (2023) 3737--3742], we show that every countable monoid has a universal action on the free object over a countable infinite set. This is a general result concerning concret
Externí odkaz:
http://arxiv.org/abs/2307.15937
Publikováno v:
Rev. R. Acad. Cienc. Exactas F\'is. Nat. Ser. A Mat. RACSAM 118(2024), no.3, Paper No. 118
We study homogeneity aspects of metric spaces in which all triples of distinct points admit pairwise different distances; such spaces are called isosceles-free. In particular, we characterize all homogeneous isosceles-free spaces up to isometry as ve
Externí odkaz:
http://arxiv.org/abs/2305.03163
Every countable graph can be built from finite graphs by a suitable infinite process, either adding new vertices randomly or imposing some rules on the new edges. On the other hand, a profinite topological graph is built as the inverse limit of finit
Externí odkaz:
http://arxiv.org/abs/2209.14626
Autor:
Bartoš, Adam, Kubiś, Wiesław
We characterize the pseudo-arc as well as P-adic pseudo-solenoids (for a set of primes P) as generic structures, arising from a natural game in which two players alternate in building an inverse sequence of surjections. The second player wins if the
Externí odkaz:
http://arxiv.org/abs/2208.06886
We discuss homogeneity and universality issues in the theory of abstract linear spaces, namely, structures with points and lines satisfying natural axioms, as in Euclidean or projective geometry. We show that the two smallest projective planes (inclu
Externí odkaz:
http://arxiv.org/abs/2205.13498
Autor:
Kubiś, Wiesław, Szeptycki, Paul
We introduce natural strengthenings of sequential compactness called the $r$-Ramsey property for each natural number $r\geq 1$. We prove that metrizable compact spaces are $r$-Ramsey for all $r$ and give examples of compact spaces that are $r$-Ramsey
Externí odkaz:
http://arxiv.org/abs/2111.14729
We extend the Kechris--Pestov--Todor\v{c}evi\'c correspondence to weak Fra\"{\i}ss\'{e} categories and automorphism groups of generic objects. The new ingredient is the weak Ramsey property. We demonstrate the theory on several examples including mon
Externí odkaz:
http://arxiv.org/abs/2110.01694
Autor:
Kubiś, Wiesław, Radecka, Paulina
We introduce the concept of an abstract evolution system, which provides a convenient framework for studying generic mathematical structures and their properties. Roughly speaking, an evolution system is a category endowed with a selected class of mo
Externí odkaz:
http://arxiv.org/abs/2109.12600