On compactness with respect to semi-open sets
On completeness and precompactness spectra of fuzzy sets in fuzzy uniform spaces
On connectedness in intuitionistic fuzzy special topological spaces.
On continuous maps in closure spaces.
On convergence groups and convergence uniformities
On convergence groups with dense coarse subgroups
On convergence in the Mikusiński operational calculus
On convergence of sequences of functions
On Convergence of Transfinite Sequences
On convergence spaces and groups
On convergence theory in fuzzy topological spaces and its applications
In this paper we introduce and study new concepts of convergence and adherent points for fuzzy filters and fuzzy nets in the light of the -relation and the -neighborhood of fuzzy points due to Pu and Liu [28]. As applications of these concepts we give several new characterizations of the closure of fuzzy sets, fuzzy Hausdorff spaces, fuzzy continuous mappings and strong -compactness. We show that there is a relation between the convergence of fuzzy filters and the convergence of fuzzy nets similar...
On convergences of signed states
On countable families of sets without the Baire property
We suggest a method of constructing decompositions of a topological space X having an open subset homeomorphic to the space (ℝⁿ,τ), where n is an integer ≥ 1 and τ is any admissible extension of the Euclidean topology of ℝⁿ (in particular, X can be a finite-dimensional separable metrizable manifold), into a countable family ℱ of sets (dense in X and zero-dimensional in the case of manifolds) such that the union of each non-empty proper subfamily of ℱ does not have the Baire property in X.
On countable Fréchet-Urysohn spaces
On coverings in the lattice of all group topologies of arbitrary Abelian groups.
On D-dimension of metrizable spaces
For every cardinal τ and every ordinal α, we construct a metrizable space and a strongly countable-dimensional compact space of weight τ such that , and each metrizable space X of weight τ such that D(X) ≤ α is homeomorphic to a subspace of and to a subspace of .
On decomposition of fuzzy -continuity.
On decomposition of spaces on meager sets
On derivations of quantales
A quantale is a complete lattice equipped with an associative binary multiplication distributing over arbitrary joins. We define the notions of right (left, two) sided derivation and idempotent derivation and investigate the properties of them. It’s well known that quantic nucleus and quantic conucleus play important roles in a quantale. In this paper, the relationships between derivation and quantic nucleus (conucleus) are studied via introducing the concept of pre-derivation.
On -sequentially regular spaces