Geodesic
Developability and Some New Regularity Axioms
Canadian journal of mathematics, Tome 33 (1981) no. 3, pp. 641-663

Voir la notice de l'article provenant de la source Cambridge University Press

In a recent publication H. Brandenburg [5] introduced D-completely regular topological spaces as a natural extension of completely regular (not necessarily T 1) spaces: Whereas every closed subset A of a completely regular space X and every x ∈ X\A can be separated by a continuous function into a pseudometrizable space (namely into the unit interval), D-completely regular spaces admit such a separation into developable spaces. In analogy to the work of O. Frink [16], J. M. Aarts and J. de Groot [19] and others ([38], [46]), Brandenburg derived a base characterization of D-completely regular spaces, which gives rise in a natural way to two new regularity conditions, D-regularity and weak regularity. 
Heldermann, N. C. Developability and Some New Regularity Axioms. Canadian journal of mathematics, Tome 33 (1981) no. 3, pp. 641-663. doi: 10.4153/CJM-1981-051-9
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