Zobrazeno 1 - 10
of 1 882
pro vyhledávání: '"Krupski, P."'
Autor:
Avilés, Antonio, Krupski, Mikołaj
We prove that every Lindel\"of scattered subspace of a $\Sigma$-product of first-countable spaces is $\sigma$-compact. In particular, we obtain the result stated in the title. This answers some questions of Tkachuk from [Houston J. Math. 48 (2022), n
Externí odkaz:
http://arxiv.org/abs/2411.10035
There are few results on mean field game (MFG) systems where the PDEs are either fully nonlinear or have degenerate diffusions. This paper introduces a problem that combines both difficulties. We prove existence and uniqueness for a strongly degenera
Externí odkaz:
http://arxiv.org/abs/2409.00152
A topological space $Y$ has the property (B) of Banakh if there is a countable family $\{A_n:n\in \mathbb{N}\}$ of closed nowhere dense subsets of $Y$ absorbing all compact subsets of $Y$. In this note we show that the space $C_p(X)$ of continuous re
Externí odkaz:
http://arxiv.org/abs/2407.18618
Autor:
Avilés, Antonio, Krupski, Mikołaj
We prove that a compact space $K$ embeds into a $\sigma$-product of compact metrizable spaces ($\sigma$-product of intervals) if and only if $K$ is (strongly countable-dimensional) hereditarily metalindel\"of and every subspace of $K$ has a nonempty
Externí odkaz:
http://arxiv.org/abs/2407.09090
We consider the Vietoris hyperspaces $\mathcal S(\mathbb R^n)$ of simple closed curves in $\mathbb R^n$, $n=2,3$, and their subspaces $\mathcal S_P(\mathbb R^2)$ of planar simple closed polygons, $\mathcal K_P$ of polygonal knots, and $\mathcal K_T$
Externí odkaz:
http://arxiv.org/abs/2401.13084
Autor:
Avilés, Antonio, Krupski, Mikołaj
The class of $L\Sigma(\leq\omega)$-spaces was introduced in 2006 by Kubi\'s, Okunev and Szeptycki as a natural refinement of the classical and important notion of Lindel\"of $\Sigma$-spaces. Compact $L\Sigma(\leq\omega)$-spaces were considered earlie
Externí odkaz:
http://arxiv.org/abs/2307.05271
The notion of a $V^n$-continuum was introduced by Alexandroff \cite{ps} as a generalization of the concept of $n$-manifold. In this note we consider the cohomological analogue of $V^n$-continuum and prove that any strongly locally homogeneous general
Externí odkaz:
http://arxiv.org/abs/2303.16373
Autor:
Krupski, Mikołaj, Kucharski, Kacper
It is known that both the Menger and Hurewicz property of a Tychonoff space $X$ can be described by the way $X$ is placed in its \v{C}ech-Stone compactification $\beta X$. We provide analogous characterizations for the projective versions of the prop
Externí odkaz:
http://arxiv.org/abs/2302.12933