An \(\alpha\)-disconnected space has no proper monic preimage

DOI10.1016/0166-8641(90)90059-BzbMath0734.54005OpenAlexW2088432043MaRDI QIDQ810914

Anthony J. Macula, Anthony W. Hager, Richard N. Ball

Publication date: 1990

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-8641(90)90059-b

zbMATH Keywords

extremally disconnected space\(\alpha\)- disconnected spacescategory of spaces with filters

Mathematics Subject Classification ID

Continuous maps (54C05) Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Stone spaces (Boolean spaces) and related structures (06E15) Epimorphisms, monomorphisms, special classes of morphisms, null morphisms (18A20) (P)-spaces (54G10)

Related Items (7)

Epi-topology and epi-convergence for Archimedean lattice-ordered groups with unit ⋮ Functorial polar functions ⋮ \(\alpha\)-Dedekind complete archimedean vector lattices versus \(\alpha\)- quasi-\(F\) spaces ⋮ Monomorphisms in spaces with Lindelöf filters ⋮ Singular \(f\)-rings which are \(\alpha\)-G. C. D. rings ⋮ Weakly least integer closed groups ⋮ Functorial approximation to the lateral completion in archimedean lattice-ordered groups with weak unit

Cites Work

• Projective topological spaces
• Free extensions of Boolean algebras
• Epicomplete Archimedean l-Groups and Vector Lattices
• Quasi F-Covers of Tychonoff Spaces
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