Original Articles

CARTESIAN CLOSED TOPOLOGICAL HULLS AS INJECTIVE HULLS

Published in: Quaestiones Mathematicae
Volume 9 , issue 1-4 , 1986 , pages: 263–280

DOI: 10.1080/16073606.1986.9632116

Author(s): R. Herrlich , Fed. Rep. Germany , G.E. Strecker Dept. of Mathematics, U.S.A.

Keywords: Primary: 18A99 , 18D15 , 18A22 , 18815 , 18D99 , Secondary: 18A35 , 18B35 , 06Al2 , 06A23

Abstract

It is shown that (concretely) Cartesian closed topological hulls can be characterized as injective hulls in a rather natural setting. The characterization of locale hulls as injective hulls in the category of (meet-) semilattices by Bruns & Lakser and Born & Kimura constitutes a special case.

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