We prove a general categorical theorem that enables us to state that under certain conditions, the range of a functor is large. As an application, we prove various results of which the following is a prototype: If every diagram, indexed by a lattice, of finite Boolean 〈∨, 0〉-semilattices with 〈∨, 0〉-embeddings, can be lifted with respect to the Conc functor on lattices, then so can every diagra...

We introduce and study a new graph representation where vertices are embedded in three or more dimensions, which the edges drawn on projections onto axis-parallel planes. show that Kn has ⌈n/2+2⌉ dimensions Km,n ⌈min(m,n)+1⌉ dimensions. In 3 we there exist graphs with 6n−15 can be projected two orthogonal planes, this is best possible. Finally, obtain bounds terms of geometric thickness caterpi...

The destructive interference of the neighbouring field configurations with infinite classical action in gravitational path integral approach serves as a dynamical mechanism resolving black hole singularity problem. It also provides an isotropic and homogeneous early universe without need inflation. In this work, we elaborate on finite framework Horava-Lifshitz gravity -- ghost-free QFT. Assumin...

The facilitative effect of expertise in hypertext information retrieval tasks (IR) has been widely reported in related literature. However, recent theories of human expertise question the robustness of this result, since previous works have not considered the interaction between user and system characteristics (Vicente and Wang 1998, Vicente 2000). In this study work, the Constraint attunement ...

In this paper, we study a projectable Ho\v{r}ava-Lifshitz cosmology without the detailed balance condition minimally coupled to non-linear self-coupling scalar field. minisuperspace framework, super Hamiltonian of presented model is constructed by means which, some classical solutions for scale factor and field are obtained. Since these exhibit various types singularities, came up with quantiza...

Abstract Real kinds, both natural and social categories, are characterized by rich inductive potential. They have relatively stable sets of conceptually independent projectable properties. Somewhat surprisingly, even some purely categories (e.g., ethnicity, gender, political orientation) show such multiple projectability. The article explores the origin richness concepts. I argue that existing ...