Almost-Homeomorphisms And Almost-Topological Properties.
Some counterexamples and properties on generalizations of Lindelöf spaces.
Un complemento al principio variazionale di Ekeland e sue applicazioni
Cleavability and divisibility over developable spaces
Some results on cleavability theory are presented. We also show some new [16]'s results.
Multiple solutions for some Dirichlet problems with nonlocal terms
We deal with some Dirichlet problems involving a nonlocal term. The existence of two nonzero, nonnegative solutions is achieved by applying a recent result by Ricceri.
Implicit integral equations with discontinuous right-hand side
We consider the integral equation , with , and prove an existence theorem for bounded solutions where is not assumed to be continuous.
Vector integral equations with discontinuous right-hand side
We deal with the integral equation , with , and . We prove an existence theorem for solutions where the function is not assumed to be continuous, extending a result previously obtained for the case .
Spaces related to gamma-sets
On minimal Hausdorff and minimal Urysohn functions
In this article, we extend the work on minimal Hausdorff functions initiated by Cammaroto, Fedorchuk and Porter in a 1998 paper. Also, minimal Urysohn functions are introduced and developed. The properties of heredity and productivity are examined and developed for both minimal Hausdorff and minimal Urysohn functions.
Monotone weak Lindelöfness
The definition of monotone weak Lindelöfness is similar to monotone versions of other covering properties: X is monotonically weakly Lindelöf if there is an operator r that assigns to every open cover U a family of open sets r(U) so that (1) ∪r(U) is dense in X, (2) r(U) refines U, and (3) r(U) refines r(V) whenever U refines V. Some examples and counterexamples of monotonically weakly Lindelöf spaces are given and some basic properties such as the behavior with respect to products and subspaces...
-sets and near compact spaces
Si provano nuovi risultati riguardanti gli «-sets» e gli spazi «Near-compact». Si completano alcune ricerche pubblicate dai primi due autori nel 1978 e si risolvono due problemi recentemente posti da Cammaroto, Gutierrez, Nordo e Prada.
On Relative -Sets
In this note we show a relative version of -set introduced and studied in [12]. We give several characterizations of this property; in particular one of the characterizations is Ramsey theoretical. Also we give a result involving a property of the corresponding mapping between function spaces.
H-closed functions
The notion of a Hausdorff function is generalized to the concept of H-closed function and the concept of an H-closed extension of a Hausdorff function is developed. Each Hausdorff function is shown to have an H-closed extension.
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