On the nonsimplicity of some convergence categories
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- by E. Lowen and R. Lowen PDF
- Proc. Amer. Math. Soc. 105 (1989), 305-308 Request permission
Abstract:
The category TOP of topological spaces is known to be Convsimple in the sense that there exists a single object $E$ in Top such that Top is the epireflective hull of $\left \{ E \right \}$ in the category Conv of convergence spaces. Prtop, the category of pretopological spaces is also Conv-simple. We show that on the contrary the category Pstop of pseudo topological spaces and Conv itself are not Conv-simple. More specifically every epireflective subcategory of Conv which contains all Hausdorff $c$-embedded locally compact spaces is not Conv-simple.References
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Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 105 (1989), 305-308
- MSC: Primary 18B99; Secondary 54A25, 54B30
- DOI: https://doi.org/10.1090/S0002-9939-1989-0936777-1
- MathSciNet review: 936777