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On certain cardinal properties of the $${N}_{\tau}^{\varphi }$$-nucleus of a space $$X$$. (English. Russian original) Zbl 1442.54006
J. Math. Sci., New York 245, No. 3, 411-415 (2020); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 144, 117-121 (2018).
Summary: In this paper, we examine certain cardinal properties of subspaces $${N}_{\tau}^{\varphi } X$$ of the space $$NX$$ of complete linked systems of a topological space $$X$$.
##### MSC:
 54A25 Cardinality properties (cardinal functions and inequalities, discrete subsets) 18B20 Categories of machines, automata 46A63 Topological invariants ((DN), ($$\Omega$$), etc.) for locally convex spaces 18A05 Definitions and generalizations in theory of categories 46E27 Spaces of measures