On completely additive classes of sets with respect to Carathéodory's outer measure

a comparison of teachers and supervisors, with respect to teacher efficacy and reflection

supervisors play an undeniable role in training teachers, before starting their professional experience by preparing them, at the initial years of their teaching by checking their work within the proper framework, and later on during their teaching by assessing their progress. but surprisingly, exploring their attributes, professional demands, and qualifications has remained a neglected theme i...

Homogeneous sets of positive outer measure∗

For every Polish space and a coanalytic set of its countable subsets, if there is a homogeneous set of outer measure one then there is a perfect homogeneous set. In the generic extension by a large measure algebra, if there is a homogeneous set of size continuum then there is a a perfect homogeneous set.

Additive Functions with Respect to Numeration Systems on Regular Languages

Additive numeration systems and the corresponding additive arithmetic functions have been studied from various points of view since the seminal papers of H. Delange [4, 5], where such functions were investigated for the usual q-adic numeration system. Later more exotic systems of numeration, such as general linear numeration systems [13, 14], especially such systems defined by linear recurring ...

Analyzing Non-Interference with respect to Classes

Non-Interference (ANI)8 provided a well-founded and parametric framework where the standard notion of Non-Interference (NI)10,16 can be relaxed. Such a weakening is useful since many programs do not satisfy NI because it requires the separation between public (information every user can observe) and private (to protect from unauthorized users) data to be complete; i.e., the public output must n...

On Pre-θ-Open Sets and Two Classes of Functions