Classification of generalized Wallach spaces

On Generalized Injective Spaces in Generalized Topologies

In this paper, we first present a new type of the concept of open sets by expressing some properties of arbitrary mappings on a power set. With the generalization of the closure spaces in categorical topology, we introduce the generalized topological spaces and the concept of generalized continuity and become familiar with weak and strong structures for generalized topological spaces. Then, int...

Generalized Symmetric Berwald Spaces

In this paper we study generalized symmetric Berwald spaces. We show that if a Berwald space $(M,F)$ admits a parallel $s-$structure then it is locally symmetric. For a complete Berwald space which admits a parallel s-structure we show that if the flag curvature of $(M,F)$ is everywhere nonzero, then $F$ is Riemannian.

Multipliers of generalized frames in Hilbert spaces

Monoidal closedness of $L$-generalized convergence spaces

In this paper, it is shown that the category of stratified $L$-generalized convergence spaces is monoidal closed if the underlying truth-value table $L$ is a complete residuated lattice. In particular, if the underlying truth-value table $L$ is a complete Heyting Algebra, the Cartesian closedness of the category is recaptured by our result.

Prototype Selection for Classification in Standard and Generalized Dissimilarity Spaces

A common way to represent patterns for recognition systems is by feature vectors lying in some space. If this representation is based only on the predefined object features, it is independent of the other objects. In contrast, a dissimilarity representation of objects takes into account the relations between them by some measure of resemblance (e.g. dissimilarity). The nearest neighbour (1-NN) ...