On lattices of continuous order-preserving functions
On lattices of generalized topologies
On lattice-topological properties of general Wallman spaces.
On left-separated compact spaces
On lexicographic products
On Limit Permanence of Projectivity and Ingectivity
On Lindelöf lattices and separation.
On linear functorial operators extending pseudometrics
For a functor on the category of metrizable compacta, we introduce a conception of a linear functorial operator extending (for each ) pseudometrics from onto (briefly LFOEP for ). The main result states that the functor of -symmetric power admits a LFOEP if and only if the action of on has a one-point orbit. Since both the hyperspace functor and the probability measure functor contain as a subfunctor, this implies that both and do not admit LFOEP.
On linear operators and functors extending pseudometrics
For some pairs (X,A), where X is a metrizable topological space and A its closed subset, continuous, linear (i.e., additive and positive-homogeneous) operators extending metrics for A to metrics for X are constructed. They are defined by explicit analytic formulas, and also regarded as functors between certain categories. An essential role is played by "squeezed cones" related to the classical cone construction. The main result: if A is a nondegenerate absolute neighborhood retract for metric spaces,...
On linearly topologized spaces and real-compact spaces
On linearly topologized spaces and real-compact spaces - II
On linearly topologized spaces and -spaces
On Lipschitz ball noncollapsing functions and uniform co-Lipschitz mappings of the plane.
On local 1-connectedness of Whitney continua
On local expansions
On local isometries and isometries in metric spaces
On local merotopic character
On locales whose countably compact sublocales have compact closure
Among completely regular locales, we characterize those that have the feature described in the title. They are, of course, localic analogues of what are called -isocompact spaces. They have been considered in T. Dube, I. Naidoo, C. N. Ncube (2014), so here we give new characterizations that do not appear in this reference.
On locally connected plane one-to-one continuous images of [0,∞)
On locally contractive fixed-point mappings