Directed Geometrical Bundles and Their Analytical Representation

Grzegorz Lewandowski

Siedlce Agricultural, and Pedagogical University

Krzysztof Prazmowski

Warsaw University, Bialystok

Bozena Lewandowska

Siedlce Agricultural, and Pedagogical University

Summary.

We introduce the notion of weak directed geometrical bundle. We prove representation theorems for directed and weak directed geometrical bundles which establishes a one-to-one correspondence between such structures and appropriate 2-divisible abelian groups. To this aim we construct over arbitrary weak directed geometrical bundle a group defined entirely in terms of geometrical notions - the group of (abstract) ``free vectors".

Supported by RPBP.III-24.C3.

MML Identifier: AFVECT0

Contents (PDF format)

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