Weights of denumerable topological spaces
Well-chainedness and connectedness.
Well-posed minimum problems for preorders
What should be a rate of convergence ?
When is Lindelöf?
Theorem. In ZF (i.e., Zermelo-Fraenkel set theory without the axiom of choice) the following conditions are equivalent: (1) is a Lindelöf space, (2) is a Lindelöf space, (3) is a Lindelöf space, (4) every topological space with a countable base is a Lindelöf space, (5) every subspace of is separable, (6) in , a point is in the closure of a set iff there exists a sequence in that converges to , (7) a function is continuous at a point iff is sequentially continuous at , (8)...
Zur Topologisierung metrischer Räume. I.
-compact fuzzy topological spaces
The purpose of this paper is to introduce and discuss the concept of -compactness for fuzzy topological spaces.
-compactness in smooth topological spaces.
-fuzzy compactness in -topological spaces.
-open sets and -bicontinuity in ditopological texture spaces.
-point compactifications
-spaces and some of their properties
-connectedness and -connectedness of topological spaces
-compactness in -fuzzy topological spaces.
β-open and β-continuous mappings in fuzzy bitopological spaces
-Compactness in -Topological Spaces
-convergence and -capacities
Limiti e analisi non standard
In this note we give a nonstandard characterization of multiple topological operators as sup-min of standard part map.
-limiti e minimi di Pareto
The notion of -limit is extended from the case of functions with values in to the case of those with values in an arbitrary complete lattice and the problem of convergence of Pareto minima related to a convex cone is considered.
-sets and -continuous functions.