Abstract
We characterize monomorphisms in rLLoc, the category of regular Lindelöf locales. Though somewhat complicated, the characterization is intrinsic in the sense that it refers only to the properties of the morphism itself, rather than to properties of some lifting of it to a distant category.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Ball, R.N., Hager, A.W.: On the localic Yosida representation of an archimedean lattice ordered group with weak unit. J. Pure Appl. Algebra 70, 17–43 (1991)
Ball, R.N., Hager, A.W.: Monomorphisms in spaces with filters. Presented to the Conference on Locales and Topological Groups, Curacao (1989)
Ball, R.N., Hager, A.W.: Epi-topology and epi-convergence for archimedean lattice-ordered groups with unit. Appl. Categ. Structures (to appear)
Ball, R.N., Hager, A.W.: Monomorphisms in spaces with Lindelöf filters. Czechoslovak Math. J. (to appear)
Ball, R.N., Walters-Wayland, J.: C- and C ∗-quotients in point-free topology. Dissertationes Math. 412 (2002)
Madden, J.J., Molitor, A.: Epimorphisms of frames. J. Pure Appl. Algebra 70, 129–132 (1991)
Madden, J.J., Vermeer, J.: Epicomplete archimedean ℓ-groups via a localic Yosida theorem. J. Pure Appl. Algebra 68, 243–252 (1990)
Author information
Authors and Affiliations
Corresponding author
Additional information
Dedicated to Bernhard Banaschewski on the occasion of his 80th birthday.
Rights and permissions
About this article
Cite this article
Ball, R.N., Hager, A.W. & Walters-Wayland, J. An Intrinsic Characterization of Monomorphisms in Regular Lindelöf Locales. Appl Categor Struct 15, 109–118 (2007). https://doi.org/10.1007/s10485-007-9070-y
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10485-007-9070-y