INDUCTIVE AND PROJECTIVE TOPOLOGIES. SUFFICIENT SETS AND REPRESENTING SYSTEMS
Yu. F. Korobeĭnik · Mathematics of the USSR-Izvestiya · 1987
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.