Displaying similar documents to “Remarks about measures on orthomodular posets”

Extending Coarse-Grained Measures

Anna De Simone, Pavel Pták (2006)

Bulletin of the Polish Academy of Sciences. Mathematics

Similarity:

In [4] it is proved that a measure on a finite coarse-grained space extends, as a signed measure, over the entire power algebra. In [7] this result is reproved and further improved. Both the articles [4] and [7] use the proof techniques of linear spaces (i.e. they use multiplication by real scalars). In this note we show that all the results cited above can be relatively easily obtained by the Horn-Tarski extension technique in a purely combinatorial manner. We also characterize the...