Some representations connected with ultrafilters and maximal linked systems. (English) Zbl 1454.54018
Summary: Ultrafilters and maximal linked systems (MLS) of a lattice of sets are considered. Two following variants of topological equipment are investigated: the Stone and Wallman topologies. These two variants are used both in the case of ultrafilters and for space of MLS. Under Wallman equipment, an analog of superextension is realized. Namely, the space of MLS with topology of the Wallman type is supercompact topological space. By two above-mentioned equipments a bitopological space is realized.
MSC:
| 54D80 | Special constructions of topological spaces (spaces of ultrafilters, etc.) |
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