Elzbieta Hajnicz

Representing solid intervals by means of point skeletons

912

Abstract

This report is a continuation of the previous report Defining intervals by means of point skeletons: generalization of pairs of points, where a notion of point skeletons is introduced.

Point skeletons are organized by a precedence relation $\prec$ and the inclusion relation $\subseteq$. In this report, the notion of solidity of intervals is introduced for point skeletons. Three axiomatizations are presented adequate for solid point skeletons. They correspond to axiomatizations of the previous report.

At the end of the report, a comparison between representations of intervals by means of point skeletons and sets of points is performed.

Key words: non-linear time structures, time points, time intervals, solidity of intervals.