We construct several non-trivial examples of CAT(1) spaces by using the idea of free construction.

This paper illustrates how the model of computational media can be introduced in the field of higher education. In our practical work, we identified four distinct design spaces for learning media and named them as follows: artifact design space, agent design space, process design space, and business model design space. We have applied the design space approach in the UNIVERSAL project, an open,...

Our main result in this paper is that a Banach space X embeds into L, if and only if l~(X) embeds into Lo; more generally if 1 _-< p < 2, X embeds into Lp if and only if lp (X) embeds into L~,.

The highly influential framework of conceptual spaces provides a geometric way of representing knowledge. Instances are represented by points in a high-dimensional space and concepts are represented by regions in this space. Our recent mathematical formalization of this framework is capable of representing correlations between different domains in a geometric way. In this paper, we extend our f...

we study algebraic properties of categories of merotopic, nearness, and filter algebras. we show that the category of filter torsion free abelian groups is an epireflective subcategory of the category of filter abelian groups. the forgetful functor from the category of filter rings to filter monoids is essentially algebraic and the forgetful functor from the category of filter groups to the cat...

Dear Editors, A 53-year-old diabetic man was referred to us for malodorous maceration on the plantar surface of his toe webs and metatarsal pads. The lesions initially appeared as mild erythemas 2months before this consultation, and then progressed to be erosions, oozing, exudation and maceration. The patient was treated with oral itraconazole 100mg daily and other topical antifungal creams for...

We describe a case of plantar interdigital cutaneous melanoma in a 22-year-old woman who reported changes in a pigmented lesion during pregnancy. Diagnosis was late and evolution unfavourable. The purpose of this report is to draw the attention of dermatologists to the need for careful regular examination of melanocytic lesions in pregnant women, not ignoring possible changes as always physiolo...

We will give a combinatorial description of the homotopy groups for the suspension ofK(π, 1) and wedges of 2-spheres. In particular, all of the homotopy groups of the 2-sphere are given as the centers of certain combinatorially described groups.