In [4], Erné relaxed the concept of sobriety in order to extend theory sober spaces and locally hypercompact situations where directed joins were missing, introduced discussed three kinds non-sober spaces: cut spaces, weakly quasisober spaces. [24], other namely DC space, RD space WD investigated. All these six classes are strictly larger than that this paper, it is shown category all not refle...

We study here $T_{0}$-$Q$-bitopological spaces and sober $Q$-bitopological spaces and their relationship with two particular Sierpinski objects in the category of $Q$-bitopological spaces. The epireflective hulls of both these Sierpinski objects in the category of $Q$-bitopological spaces turn out to be the category of $T_0$-$Q$-bitopological spaces. We show that only one of these Sierpinski ob...

In the article concepts and facts necessary to continue forma-lization of theory of continuous lattices according to [10] are introduced. The notation and terminology used here are introduced in the following papers:

This paper presents algebraic attacks on SOBER-t32 and SOBER-t16 without stuttering. For unstuttered SOBER-t32, two different attacks are implemented. In the first attack, we obtain multivariate equations of degree 10. Then, an algebraic attack is developed using a collection of output bits whose relation to the initial state of the LFSR can be described by low-degree equations. The resulting s...

Sober (1984) presents an account of selection motivated by the view that one property can causally explain the occurrence of another only if the first plays a unique role in the causal production of the second. Sober holds that a causal property will play such a unique role if it is a population level cause of its effect, and on this basis argues that there is selection for a trait T only if T ...

A poset model of a topological space X is a poset P together with a homeomorphism φ : X−→Max(P ) (Max(P ) is the subspace of the Scott space ΣP consisting of maximal points of P ). In [11] (also in [2]), it was proved that every T1 space has a bounded complete algebraic poset model. It is, however still unclear whether each T1 space has a dcpo model. In this paper we give a positive answer to t...

According to law enforcement, many witnesses are intoxicated either at the time of the crime, the interview, or both (Evans et al., Public Policy Law 15(3):194-221, 2009). However, no study to date has examined whether intoxicated witnesses' recall is different from sober witnesses' and whether they are more vulnerable to misinformation using an ecologically valid experimental design. Intoxicat...

We show that the first author’s QRB-domains coincide with Li and Xu’s QFS-domains, and also with Lawson-compact quasi-continuous dcpos, with stably-compact locally finitary compact spaces, with sober QFSspaces, and with sober QRB-spaces. The first three coincidences were discovered independently by Lawson and Xi. The equivalence with sober QFS-spaces is then applied to give a novel, direct proo...

Background Sober living houses (SLHs) are peer-managed residences that require sobriety and household participation among residents who rent rooms on a monthly (indefinite) basis and otherwise live normal lives according to personal schedules and needs. The houses do not provide counseling or services, but regular attendance at 12-step or other types of mutual-help groups is generally required....