Parallelity Spaces 1
Eugeniusz Kusak · 1990
Summary. In the monography [6] W. Szmielew introduced the parallelity planes 〈S; �〉, where � ⊆ S×S×S×S. In this text we omit upper bound axiom which must be satisfied by the parallelity planes (see also E.Kusak [4]). Further we will list those theorems which remain true when we pass from the parallelity planes to the parallelity spaces. We construct a model of the parallelity space in Abelian group 〈F × F × F;+F,−F,0F〉, where F is a field.