On Darboux selections

Selections on Ψ - spaces

We show that if A is an uncountable AD (almost disjoint) family of subsets of ω then the space Ψ(A) does not admit a continuous selection; moreover, if A is maximal then Ψ(A) does not even admit a continuous selection on pairs, answering thus questions of T. Nogura.

On Continuity and Monotonicityof Darboux

In this paper we consider the problems connected with the continuity of Darboux transformations and the monotonicity of the restrictions of these transformations. We show that it becomes possible to give answers to many questions concerning these problems if our considerations are connned to the family of c-functions which is deened in the paper. In paper DG] (1875), the rst example of a discon...

On a Result of Darboux

Selections

It was not until the sixteenth century that dead bodies were submitted to medico-legal investigation. The horror which human dissections inspired in the ancients, and the religious awe with which they beheld the mortal wreck of their fellows, not only retarded the progress of anatomy and physiology, but excluded the light of medicine from the researches of the forum. The Jewish law, indeed, con...

On Darboux Property of Fuzzy Multimeasures

We present some properties regarding Darboux property, non-atomicity, regular fuzziness of multimeasures taking values in the family of all closed nonvoid subsets of a real normed space. Key–words: Darboux property, fuzzy multimeasure, atom, non-atomic, regular, diffused.