A characterization of trans-separable spaces
Ferrando, J.C. ; Kąkol, Jerzy ; López Pellicer, M.
Bull. Belg. Math. Soc. Simon Stevin, Tome 13 (2007) no. 5, p. 493-498 / Harvested from Project Euclid
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The paper shows that a uniform space $X$ is trans-separable if and only if every pointwise bounded uniformly equicontinuous subset of the space of continuous real-valued functions $C_{c}(X) $ equipped with the compact-open topology is metrizable. This extends earlier results of Pfister and Robertson and also applies to show that if $C_{c}(X) $ is angelic then $X$ is trans-separable. The precise relation among DCCC spaces and trans-separable spaces has been also determined.
Publié le : 2007-09-14
Classification:  Trans-separable space,  web-compact space,  angelic space,  54E15,  54C35,  46A50 
@article{1190994210,
     author = {Ferrando, J.C. and K\k akol, Jerzy and L\'opez Pellicer, M.},
     title = {A characterization of trans-separable spaces},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {13},
     number = {5},
     year = {2007},
     pages = { 493-498},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1190994210}
}

Ferrando, J.C.; Kąkol, Jerzy; López Pellicer, M. A characterization of trans-separable spaces. Bull. Belg. Math. Soc. Simon Stevin, Tome 13 (2007) no. 5, pp.  493-498. http://gdmltest.u-ga.fr/item/1190994210/