The generalization of Cellina's Fixed Point Theorem
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The intersection convolution of relations and the Hahn-Banach type theorems
Árpád Száz (1998)
Annales Polonici Mathematici
By introducing the intersection convolution of relations, we prove a natural generalization of an extension theorem of B. Rodrí guez-Salinas and L. Bou on linear selections which is already a substantial generalization of the classical Hahn-Banach theorems. In particular, we give a simple neccesary and sufficient condition in terms of the intersection convolution of a homogeneous relation and its partial linear selections in order that every partial linear selection of this relation can have an...
Trivial bundles of spaces of probability measures and countable-dimensionality
Valentin Gutev (1995)
Studia Mathematica
The probability measure functor P carries open continuous mappings of compact metric spaces into Q-bundles provided Y is countable-dimensional and all fibers are infinite. This answers a question raised by V. Fedorchuk.
Two Selection Theorems
John P. Burgess (1977)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
Currently displaying 1 – 4 of 4
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