Displaying similar documents to “Affine Independence in Vector Spaces”

Abstract separation theorems of Rodé type and their applications

Kazimierz Nikodem, Zsolt Páles, Szymon Wąsowicz (1999)

Annales Polonici Mathematici

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Sufficient and necessary conditions are presented under which two given functions can be separated by a function Π-affine in Rodé sense (resp. Π-convex, Π-concave). As special cases several old and new separation theorems are obtained.

Regular and biregular functions in the sense of Fueter - some problems

W. Królikowski, R. Michael Porter (1994)

Annales Polonici Mathematici

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The biregular functions in the sense of Fueter are investigated. In particular, the class of LR-biregular mappings (left regular with a right regular inverse) is introduced. Moreover, the existence of non-affine biregular mappings is established via examples. Some applications to the quaternionic manifolds are given.