Inductive and projective topologies. Sufficient sets and representing systems

Yu. F. Korobeinik

Izvestiya. Mathematics , Tome 28 (1987) no. 3, pp. 529-554.

Résumé

Conditions are found for the equality of various topologies in inductive limits of spaces of functions defined on an arbitrary set. A new class of sufficient sets is introduced and its connection with classes studied previously is determined. The general dependence between weakly sufficient sets and absolutely representing systems is indicated. Bibliography: 32 titles.

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