Regular fuzzy spaces and fuzzy almost regular spaces
Regular generalized -closed sets.
Regular -fuzzy topological spaces and their topological modifications.
Regular mappings between dimensions
The notions of Lipschitz and bilipschitz mappings provide classes of mappings connected to the geometry of metric spaces in certain ways. A notion between these two is given by regular mappings (reviewed in Section 1), in which some non-bilipschitz behavior is allowed, but with limitations on this, and in a quantitative way. In this paper we look at a class of mappings called (s, t)-regular mappings. These mappings are the same as ordinary regular mappings when s = t, but otherwise they behave somewhat...
Regular maps and products of p-quotient maps
Regular measures and entropy on pseudo-compact spaces
Regular minimal sets. II : the proximally equicontinuous case
Regular representations of semisimple MV-algebras by continuous real functions
Regular -spaces
Regular spaces and relations
Regular spaces of small extent are ω-resolvable
We improve some results of Pavlov and Filatova, concerning a problem of Malykhin, by showing that every regular space X that satisfies Δ(X) > e(X) is ω-resolvable. Here Δ(X), the dispersion character of X, is the smallest size of a non-empty open set in X, and e(X), the extent of X, is the supremum of the sizes of all closed-and-discrete subsets of X. In particular, regular Lindelöf spaces of uncountable dispersion character are ω-resolvable. We also prove that any regular...
Regular vector lattices of continuous functions and Korovkin-type theorems-Part I
We introduce and study a new class of locally convex vector lattices of continuous functions on a locally compact Hausdorff space, which we call regular vector lattices. We investigate some general properties of these spaces and of the subspaces of so-called generalized affine functions. Moreover, we present some Korovkin-type theorems for continuous positive linear operators; in particular, we study Korovkin subspaces for finitely defined operators, for the identity operator and for positive...
Regularity: A generalization of equicontinuity
Regularity and extension of mappings in sequential spaces
Regularity and extension of maps
Regularity and normality on L-topological spaces. I.
Regularity and normality via ideals.
Regularity in convergence spaces
Regularity of distribution of (nα)-sequences
Regularity of topological and metric entropy of hyperbolic flows.