PRODUCTS OF ULTRAFILTERS AND MAXIMAL LINKED SYSTEMS ON WIDELY UNDERSTOOD MEASURABLE SPACES

Constructions related to products of maximal linked systems (MLSs) and MLSs on the product widely understood measurable spaces are considered (these defined as sets equipped with \(\pi\)-systems their subsets; a \(\pi\)-system is family closed respect finite intersections). We compare families initial product. Separately, we consider case ultrafilters. Equipping set-products topologies, use box-topology Tychonoff Stone-type topologies. The properties compaction homeomorphism hold, respectively.