The problems of sphere theorems in Riemannian geometry have yielded the beautiful results and the fruitful techniques for the study of global geometry (cf. [22]). The main purpose of this paper is to study sphere theorems for CAT(1)-spaces: When are CAT(1)-spaces homeomorphic to the sphere? The notion of CAT(κ)-spaces is introduced by Gromov ([11]) based on Alexandrov’s original notion, i.e., s...

This short note presents a new relation between coherent spaces and finiteness spaces. This takes the form of a functor from Coh to Fin commuting with the additive and multiplicative structure of linear logic. What makes this correspondence possible and conceptually interesting is the use of the infinite Ramsey theorem. Along the way, the question of the cardinality of the collection of finiten...

Producing a mathematical model of concepts is a very important issue in artificial intelligence, because if such a model were found this, besides being a very interesting result in its own right, would also contribute to the emergence of what we could call the ‘mathematics of thought.’ One of the most interesting attempts made in this direction is P. Gärdenfors’ theory of conceptual spaces, a t...

* Correspondence: [email protected] Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia Abstract In this article, we propose to determine some stability results for the functional equation of cubic in random 2-normed spaces which seems to be a quite new and interesting idea. Also, we define the notion of continuity, approximate...

Green spaces are becoming a dwindling resource in the urban areas of many developing countries where unprecedented rapid urbanization is taking place. The serene and quite environment being depleted with ever-increased human interference even protected areas. case Dandora Estates Nairobi County, which this paper focuses on, presents an interesting diversity activities that have invaded otherwis...

ABSTRACT A vibrant and commercially active center is often the result of interesting, diverse building styles and or built-forms, pedestrian density along with variety of quality public places where people feel comfortable, spending time and shopping items for domestic and commercial functions in cities like Addis Ababa. The scale and design of buildings, pedestrian density, and other phy...

The concept of making an impression has undergone a paradigm shift as result the development highly accurate and novel systems based on new technologies.1 Digital intraoral imaging represents cutting-edge technique that allows dentist to create virtual computer-generated replica hard soft tissues. impression-making techniques are accurate, they will undoubtedly lessen need for traditional in ne...