(1) Institute of Theoretical Physics, University of Wrocław Pl. Maxa Borna 9, 50-204 Wrocław, Poland;(2) Institute of Mathematics, University of Economics, ul. Komandorska 118/120, 53–345 Wrocław, Poland
Abstract:
We investigate two different closure operations (ortho and causal closure) generated by a causal structure. In the case of orthogonal sets bounded in time two closure operations coincide and a lattice of double orthoclosed sets in this case is orthomodular.