σ-Normality of Topological Spaces

σ-normality of topological spaces

σ−Connectivity in L−Topological Spaces

In this paper, the concept of σ−connectivity in L−topological spaces is introduced. Some properties for σ−connectivity in L−topological spaces are characterized systematically. The famous K.Fan’s Theorem holds for σ−connectivity in L−topological spaces. Mathematics Subject Classification: 54A40

Normality of Fuzzy Topological Spaces in Kubiak-šostak’s Sense

The aim of this paper is to study the normality of fuzzy topological spaces in Kubiak-Šostak’s sense. Also, some characterizations and the effects of some types of functions on these types of normality are

Regularity and Normality on L - Topological Spaces : ( I ) 1

In the present paper, we define regularity and normality like strong S1 regularity, S1 regularity, weak S1 regularity, strong S1 normality, S1 normality as well as weak S1 normality on L-topological spaces. Also we investigate some of their properties and the relations between them. 2010 Mathematics Subject Classification: 54A40, 54D10, 54D15, 54D65, 03E72.

Topological Field Theory and Nonlinear Σ - Models on Symmetric Spaces

We show that the classical non-abelian pure Chern-Simons action is related to nonrelativistic models in (2+1)-dimensions, via reductions of the gauge connection in Hermitian symmetric spaces. In such models the matter fields are coupled to gauge Chern-Simons fields, which are associated with the isotropy subgroup of the considered symmetric space. Moreover, they can be related to certain (integ...

REDUNDANCY OF MULTISET TOPOLOGICAL SPACES

In this paper, we show the redundancies of multiset topological spaces. It is proved that $(P^star(U),sqsubseteq)$ and $(Ds(varphi(U)),subseteq)$ are isomorphic. It follows that multiset topological spaces are superfluous and unnecessary in the theoretical view point.