Homogeneous continua in Euclidean $(n+1)$-space which contain an $n$-cube are $n$-manifolds

SOME THEOREMS ON n-HOMOGENEOUS CONTINUA

Curvature Homogeneous Pseudo-riemannian Manifolds Which Are Not Locally Homogeneous

We construct a family of balanced signature pseudo-Riemannian manifolds, which arise as hypersurfaces in flat space, that are curvature homogeneous, that are modeled on a symmetric space, and that are not locally homogeneous.

Group theoretic conditions under which closed aspherical manifolds are covered by Euclidean space

Hass, Rubinstein, and Scott showed that every closed aspherical (irreducible) 3-manifold whose fundamental group contains the fundamental group of a closed aspherical surface, is covered by Euclidean space. This theorem does not generalize to higher dimensions. However, we will prove variations of this theorem in all dimensions by presenting conditions on finitely presented groups that guarante...

BEST APPROXIMATION SETS IN -n-NORMED SPACE CORRESPONDING TO INTUITIONISTIC FUZZY n-NORMED LINEAR SPACE

The aim of this paper is to present the new and interesting notionof ascending family of  $alpha $−n-norms corresponding to an intuitionistic fuzzy nnormedlinear space. The notion of best aproximation sets in an  $alpha $−n-normedspace corresponding to an intuitionistic fuzzy n-normed linear space is alsodefined and several related results are obtained.

Contractible n-Manifolds and the Double n-Space Property

CONTRACTIBLE n-MANIFOLDS AND THE DOUBLE n-SPACE PROPERTY