Mathematica Eterna
Open Access

Abstract

On some properties of vectors tangent to a predierential space

Krzysztof Drachal

The properties of tangent vectors to a dierential space in a sense of Sikorski are wellknown. However, recently it has been noted that further generalizations in the spirit of Sikorski dierential spaces are interesting. As a result a predierential space concept has been investigated. Predierential spaces are constructed by requiring just a slightly less assumptions on the algebra of functions than in the construction of dierential spaces. This article presents a few facts about the properties of vectors tangent to a predierential space. It is based on some previous results from the dierential spaces theory.