International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 17, Pages 1067-1072
doi:10.1155/S0161171203205202

On sequentially retractive inductive limits

Abstract

Every locally complete inductive limit of sequentially complete locally convex spaces, which satisfies Retakh's condition (M) is regular, sequentially complete and sequentially retractive. A quasiconverse for this theorem and a criterion for sequential retractivity of inductive limits of webbed spaces are given.