Function spaces and one point extensions for the construct of metered spaces |
| |
Authors: | E. Colebunders G. Sonck |
| |
Affiliation: | Department of Mathematics, Vrije Universiteit Brussel, Belgium |
| |
Abstract: | The construct M of metered spaces and contractions is known to be a superconstruct in which all metrically generated constructs can be fully embedded. We show that M has one point extensions and that quotients in M are productive. We construct a Cartesian closed topological extension of M and characterize the canonical function spaces with underlying sets Hom(X,Y) for metered spaces X and Y. Finally we obtain an internal characterization of the objects in the Cartesian closed topological hull of M. |
| |
Keywords: | 54E15 54C35 54B30 18D15 18B25 |
本文献已被 ScienceDirect 等数据库收录! |