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- W1799588169 abstract "The property for pseudoradial spaces fails to be naturally characterized by unique convergence of transfinite sequences. In response, we develop the category $mathbf{SPsRad}$ of strongly pseudoradial spaces, compactly generated spaces whose closed sets are determined by globally continuous maps from well-ordered spaces. Categorically, $mathbf{SPsRad}$ is the coreflective hull of the class of well-ordered spaces, and $mathbf{SPsRad}$ is Cartesian closed. The strongly pseudoradial weakly Hausdorff spaces admit a natural characterization involving unique extensions of injective maps of well-ordered spaces. We also obtain analogs in $mathbf{SPsRad}$ of the fact that for sequential spaces, sequential compactness is equivalent to countable compactness." @default.
- W1799588169 created "2016-06-24" @default.
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- W1799588169 date "2013-01-20" @default.
- W1799588169 modified "2023-09-27" @default.
- W1799588169 title "Strongly Pseudoradial Spaces" @default.
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