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pro vyhledávání: '"Krupski, A."'
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:
Piotr Krupski
Publikováno v:
Advances in Sciences and Technology, Vol 18, Iss 7, Pp 192-202 (2024)
The work presents the process of designing a plasma reactor with a gliding arc discharge. The topic discussed is motivated by the large and still modern application potential of non-thermal plasma in the processing of gas mixtures and plasmachemical
Externí odkaz:
https://doaj.org/article/2201220a8bbd4b93a7f70ebe687b26bc
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
Autor:
Krupski, Mikołaj
Publikováno v:
Results Math 78, 154 (2023)
A Tychonoff space $X$ is called $\kappa$-pseudocompact if for every continuous mapping $f$ of $X$ into $\mathbb{R}^\kappa$ the image $f(X)$ is compact. This notion generalizes pseudocompactness and gives a stratification of spaces lying between pseud
Externí odkaz:
http://arxiv.org/abs/2211.13266
Autor:
Krupski, Mikołaj
An old question of A.V. Arhangel'skii asks if the Menger property of a Tychonoff space $X$ is preserved by homeomorphisms of its function space $C_p(X)$. We provide affirmative answer in the case of linear homeomorphisms. To this end, we develop a me
Externí odkaz:
http://arxiv.org/abs/2208.05547