Zobrazeno 1 - 10
of 97
pro vyhledávání: '"Morayne, Michał"'
Autor:
Morayne, Michał, Rałowski, Robert
For a topological space $X$ a topological contraction on $X$ is a closed mapping $f:X\to X$ such that for every open cover of $X$ there is a positive integer $n$ such that the image of the space $X$ via the $n$th iteration of $f$ is a subset of some
Externí odkaz:
http://arxiv.org/abs/2308.02717
Autor:
Morayne, Michał, Rałowski, Robert
In $T_1$ compact topological spaces the Hutchinson operator of a contractive IFS (iterated function system; a finite family of closed mappings from the space into itself) may not be closed. Nevertheless, the Hutchinson operator of a contractive IFS h
Externí odkaz:
http://arxiv.org/abs/2303.06767
Publikováno v:
In Advances in Applied Mathematics March 2023 144
The Baire theorem, an analogue of the Banach fixed point theorem and attractors in T1 compact spaces
Autor:
Morayne, Michał a, ⁎, Rałowski, Robert b
Publikováno v:
In Bulletin des sciences mathématiques March 2023 183
Publikováno v:
In Topology and its Applications 1 December 2021 304
We examine the evolution of the best choice algorithm and the probability of its success from a directed path to the linear order of the same cardinality through $k$th powers of a directed path, $1 \leq k < n$. The vertices of a $k$th power of a dire
Externí odkaz:
http://arxiv.org/abs/1308.2644
Publikováno v:
Israel J. Math. 209 (2015) 715-743
We study and classify topologically invariant $\sigma$-ideals with a Borel base on the Hilbert cube and evaluate their cardinal characteristics. One of the results of this paper solves (positively) a known problem whether the minimal cardinalities of
Externí odkaz:
http://arxiv.org/abs/1302.5658
Publikováno v:
In Bulletin des sciences mathématiques July 2019 153:28-34
Publikováno v:
Fund. Math. 231 (2015), 101-112
We study and classify topologically invariant sigma-ideals with an analytic base on Euclidean spaces and evaluate the cardinal characteristics of such ideals.
Comment: 8 pages
Comment: 8 pages
Externí odkaz:
http://arxiv.org/abs/1208.4823
We present a connected metric space that does not contain any nontrivial separable connected subspace. Our space is a dense connected graph of a function from the real line satisfying Cauchy's equation.
Externí odkaz:
http://arxiv.org/abs/0811.2808