Spaces of Abstract Events

被引：7

作者：

Chajda, Ivan ^{[1
]}

Laenger, Helmut ^{[2
]}

机构：

[1] Palacky Univ, Fac Sci, Dept Algebra & Geometry, Olomouc 77146, Czech Republic

[2] Vienna Univ Technol, Inst Discrete Math & Geometry, Fac Math & Geoinformat, A-1040 Vienna, Austria

来源：

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2013年 / 52卷 / 06期

关键词：

Numerical event; Abstract event; Orthomodular poset; Effect algebra; State; Full set of states; Antitone involution; Sectionally antitone involutions; Orthomodular lattice; EFFECT ALGEBRAS; PROBABILITIES;

D O I：

10.1007/s10773-012-1275-7

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We generalize the concept of a space of numerical events in such a way that this generalization corresponds to arbitrary orthomodular posets whereas spaces of numerical events correspond to orthomodular posets having a full set of states. Moreover, we show that there is a natural one-to-one correspondence between orthomodular posets and certain posets with sectionally antitone involutions. Finally, we characterize orthomodular lattices among orthomodular posets.

引用

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页码：1818 / 1824

页数：7

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