International Journal of Mathematics and Mathematical Sciences
Volume 27 (2001), Issue 11, Pages 695-699
doi:10.1155/S0161171201010547

Strictly webbed spaces and regularity properties of inductive limits.

Armando García-Martínez

Instituto de Matemáticas, U.N.A.M. Area de la Investigación Científica, Circuito Exterior, Ciudad Universitaria, México D.F. 04510, Mexico

Abstract

Sequentially complete, locally complete, locally Baire, and bornivorously webbed are equivalent for strictly webbed spaces. For inductive limits of strictly webbed spaces these properties are equivalent. Moreover, they imply regularity.