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pro vyhledávání: '"Soskova, Mariya"'
In this paper, we study the existence of minimal covers and strong minimal covers in the Weihrauch degrees. We characterize when a problem $f$ is a minimal cover or strong minimal cover of a problem $h$. We show that strong minimal covers only exist
Externí odkaz:
http://arxiv.org/abs/2311.12676
Let At denote the set of infinite sequences of effective dimension t. We determine both how close and how far an infinite sequence of dimension s can be from one of dimension t, measured using the Besicovitch pseudometric. We also identify classes of
Externí odkaz:
http://arxiv.org/abs/2307.11690
Publikováno v:
The Journal of Symbolic Logic. 2023;88(3):1170-1190
The tower number $\mathfrak t$ and the ultrafilter number $\mathfrak u$ are cardinal characteristics from set theory. They are based on combinatorial properties of classes of subsets of~$\omega$ and the almost inclusion relation $\subseteq^*$ between
Externí odkaz:
http://arxiv.org/abs/2106.00312
Publikováno v:
In Advances in Mathematics January 2024 436
Akademický článek
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We discuss a theorem of Rado: Every r-coloring of the pairs of natural numbers has a path decomposition.
Comment: Updated Oct 4 2017. Our thanks to the readers for their comments. Updated in Dec 2018. The major change was the additional of the S
Comment: Updated Oct 4 2017. Our thanks to the readers for their comments. Updated in Dec 2018. The major change was the additional of the S
Externí odkaz:
http://arxiv.org/abs/1610.03364
Publikováno v:
In Advances in Mathematics 4 June 2021 383
In Mathias forcing, conditions are pairs $(D,S)$ of sets of natural numbers, in which $D$ is finite, $S$ is infinite, and $\max D < \min S$. The Turing degrees and computational characteristics of generics for this forcing in the special (but importa
Externí odkaz:
http://arxiv.org/abs/1505.02226
Autor:
Soskova, Mariya Ivanova
This thesis discusses properties of the local structure of the enumeration degrees. We begin with some historical background of the subject. vye give motivation for investigating the properties of the local structure ofthe enumeration degrees and dis
Externí odkaz:
http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.491633
Publikováno v:
Transactions of the American Mathematical Society, 2018 Feb 01. 370(2), 1351-1375.
Externí odkaz:
https://www.jstor.org/stable/90016560