Zobrazeno 1 - 10
of 63
pro vyhledávání: '"Krupski, Paweł"'
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:
Krupski, Paweł
Publikováno v:
Topology and its Applications 304(2021) 107794
It is shown that the family of all homogeneous continua in the hyperspace of all subcontinua of any finite-dimensional Euclidean cube or the Hilbert cube is an analytic subspace of the hyperspace which contains a topological copy of the linear space
Externí odkaz:
http://arxiv.org/abs/2103.01202
Hyperspaces $\mathcal H(X)$ of all countable compact subsets of a metric space $X$ and $\mathcal A_n(X)$ of infinite compact subsets which have at most $n$ ($n\in\mathbb N$), or finitely many ($n=\omega$) or countably many ($n=\omega+1$) accumulation
Externí odkaz:
http://arxiv.org/abs/1908.02845
Autor:
Krupski, Paweł, Vejnar, Benjamin
We prove that the homeomorphism relation between compact spaces can be continuously reduced to the homeomorphism equivalence relation between absolute retracts which strengthens and simplifies recent results of Chang and Gao, and Cie\'sla. It follows
Externí odkaz:
http://arxiv.org/abs/1808.08760
Autor:
Krupski, Paweł
Let $X$ be a nondegenerate Peano unicoherent continuum. The family $CB(X)$ of proper subcontinua of $X$ with connected boundaries is a $G_\delta$-subset of the hyperspace $C(X)$ of all subcontinua of $X$. If every nonempty open subset of $X$ contains
Externí odkaz:
http://arxiv.org/abs/1806.10691
Autor:
Krupski, Paweł, Samulewicz, Alicja
Publikováno v:
Topology and its Applications 221 (2017), 352-369
The family of all subcontinua that separate a compact connected $n$-manifold $X$ (with or without boundary), $n\ge 3$, is an $F_\sigma$-absorber in the hyperspace $C(X)$ of nonempty subcontinua of $X$. If $D_2(F_\sigma)$ is the small Borel class of s
Externí odkaz:
http://arxiv.org/abs/1606.06102
Autor:
Królicki, Konrad, Krupski, Paweł
Publikováno v:
Topology and its Applications 220 (2017), 146-151
The family of Wilder continua in cubes of dimension > 2 and its two subfamilies-of continuum-wise Wilder continua and of hereditarily arcwise connected continua-are recognized as coanalytic absorbers in the hyperspace of subcontinua of the cubes. In
Externí odkaz:
http://arxiv.org/abs/1512.05802
Publikováno v:
Topology and its Applications 202 (2016), 251-268
Let 0-CR denote the class of all metric compacta X such that the set of maps $f:X\to X$ with 0-dimensional sets CR(f) of chain recurrent points is a dense $G_\delta$-subset of the mapping space C(X,X) (with the uniform convergence). We prove, among o
Externí odkaz:
http://arxiv.org/abs/1312.7324
Autor:
Bendikov, Alexander, Krupski, Paweł
Publikováno v:
Potential Anal. 41 (2014), 1247-1266
Let $(X,d)$ be a locally compact separable ultrametric space. We assume that $(X,d)$ is proper, that is, any closed ball $B$ in $X$ is a compact set. Given a measure $m$ on $X$ and a function $C(B)$ defined on the set of balls (the choice function),
Externí odkaz:
http://arxiv.org/abs/1308.4883