Zobrazeno 1 - 10
of 37
pro vyhledávání: '"Beros, Konstantinos A."'
Autor:
Beros, Konstantinos A.1 (AUTHOR) berosk@miamioh.edu, Larson, Paul B.1 (AUTHOR)
Publikováno v:
Archive for Mathematical Logic. May2024, Vol. 63 Issue 3/4, p325-352. 28p.
Given a unilateral shift $B_w$ (determined by a bounded sequence $w$), a sequence $x \in \ell^2$ is "hypercyclic" for $w$ iff the forward iterates of $x$ under $B_w$ are dense in $\ell^2$. We show that it is possible to make the set of $x \in \ell^2$
Externí odkaz:
http://arxiv.org/abs/1904.03782
In this paper, we study some new examples of ideals on $\omega$ with maximal Tukey type (that is, maximal among partial orders of size continuum). This discussion segues into an examination of a refinement of the Tukey order -- known as the "weak Rud
Externí odkaz:
http://arxiv.org/abs/1902.00968
Whereas the usual notions of immunity -- e.g., immunity, hyperimmunity, etc. -- are associated with Cohen genericity, canonical immunity, as introduced by Beros, Khan and Kjos-Hanssen, is associated instead with Mathias genericity. Specifically, ever
Externí odkaz:
http://arxiv.org/abs/1707.03947
Autor:
Beros, Konstantinos A.
In an earlier paper, we introduced the following pre-order on the subgroups of a given Polish group: if $G$ is a Polish group and $H,L \subseteq G$ are subgroups, we say $H$ is {\em homomorphism reducible} to $L$ iff there is a continuous group homom
Externí odkaz:
http://arxiv.org/abs/1610.05405
We examine sets of codes such that certain properties are invariant under the choice of oracle from a range of possible oracles and establish a connection between such codes and Medvedev reductions. In examing the complexity of such sets of \emph{uni
Externí odkaz:
http://arxiv.org/abs/1610.01650
Autor:
Beros, Konstantinos A.
We consider some natural sets of real numbers arising in ergodic theory and show that they are, respectively, complete in the classes $\mathcal D_2 (\mathbf\Pi^0_3)$ and $\mathcal D_\omega (\mathbf \Pi^0_3)$, that is, the class of sets which are 2-di
Externí odkaz:
http://arxiv.org/abs/1506.03256
Publikováno v:
Notre Dame J. Formal Logic 58, no. 2 (2017), 215-220
Given any oracle, A, we construct a basic sequence Q, computable in the jump of A, such that no A-computable real is Q-distribution-normal. A corollary to this is that there is a Delta^0_{n+1} basic sequence with respect to which no Delta^0_n real is
Externí odkaz:
http://arxiv.org/abs/1404.2178
Autor:
Beros, Konstantinos A.
We consider a slightly modified form of the standard Rudin-Keisler order on ideals and demonstrate the existence of complete (with respect to this order) ideals in various projective classes. Using our methods, we obtain a simple proof of Hjorth's th
Externí odkaz:
http://arxiv.org/abs/1306.4940
Autor:
Beros, Konstantinos A.
Given a class C of subgroups of a topological group G, we say that a subgroup H in C is a universal C subgroup of G if every subgroup K in C is a continuous homomorphic preimage of H. Such subgroups may be regarded as complete members of C with respe
Externí odkaz:
http://arxiv.org/abs/1209.3497