Abstract
We show that not only completions of systems in various senses but also projective covers in the category of compact Hausdorff spaces may be obtained as subquotients of enlargements.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
N. Fine, L. Gillman, and J. Lambek,Rings of quotients of rings of functions, McGill Univ. Press, Montreal, 1965.
L. Gillman and M. Jerison,Rings of continuous functions, 1960.
A. M. Gleason,Projective topological spaces, Illinois J. Math.12 (1958), 482–489.
H. Gonshor,Injective hulls of C * algebras II, Proc. Amer. Math. Soc.24 (1970), 486–491.
W. A. J. Luxemburg,A general theory of monads, Applications of model theory to algebra, analysis and probability, 18–86.
M. Machover,Lectures on non-standard analysis, Lecture notes in mathematics, No. 94, Springer, 1969.
A. Robinson,Non-standard Analysis, Studies in Logic and the Foundations of Mathematics, Amsterdam, North Holland, 1966.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Gonshor, H. Projective covers as subquotients of enlargements. Israel J. Math. 14, 257–261 (1973). https://doi.org/10.1007/BF02764884
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02764884