Abstract Background: Identity disturbance is one of the DSM-IV criteria for borderline personality disorder, but there has been little attention to its nature. Four subsets of identity disturbance (role absorption, painful incoherence, inconsistency and lack of commitment) have been assessed. This study aimed to assess the role of these subsets in patients with borderline person...

We analyze the dual Ramsey theorem for k partitions and ℓ colors (DRTℓk) in context of reverse math, effective analysis, strong reductions. Over RCA0, stated Baire colorings Baire-DRTℓk is equivalent to statement clopen ODRTℓk a purely combinatorial CDRTℓk. When Borel k≥3, resulting principles are essentially relativizations For each α, there computable code Δα0-coloring such that any partition...

<p style='text-indent:20px;'>In this paper we completely solve the problem of when a Cantor dynamical system <inline-formula><tex-math id="M1">\begin{document}$ (X, f) $\end{document}</tex-math></inline-formula> can be embedded in id="M2">\begin{document}$ \mathbb{R} with vanishing derivative. For purpose construct refining sequence marked clopen partitions id="...

Abstract The paper introduces a broad family of metrics applicable to finite and countably infinite strings, or, by extension, formal structures serving as semantics for countable languages. main focus is on applications sets pointed Kripke models, modal logics. For the resulting metric spaces, classifies topological properties including which are topologically equivalent, providing sufficient ...

Let $S$ be a dense subsemigroup of $(0,+infty)$. In this paper, we state   definition of thick near zero, and also  we will introduce a definition that is equivalent to the definition of piecewise syndetic near zero which presented by Hindman  and Leader in [6].  We define density near zero for subsets of $S$ by a collection of nonempty finite subsets of $S$ and we investigate the conditions un...