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Some cardinal properties of stratifiable spaces and the space of linked systems with compact elements. (English) Zbl 1310.54002
The authors prove some equalities and inequalities for cardinal functions on stratifiable spaces and on spaces of linked systems.
The first one adds equality of density and \(\pi\)-network weight to a list of coinciding cardinal functions for stratifiable spaces. However the proof of this equality is universally valid.
Other results deal with \(\pi\)-weight, \(\pi\)-character and (pre-)calibers of the space of linked systems with compact elements.
Reviewer: K. P. Hart (Delft)
MSC:
54A25 Cardinality properties (cardinal functions and inequalities, discrete subsets)
54D80 Special constructions of topological spaces (spaces of ultrafilters, etc.)
54E20 Stratifiable spaces, cosmic spaces, etc.
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