Geodesic
Perfect Maps and Epi-Reflective Hulls
Canadian journal of mathematics, Tome 27 (1975) no. 1, pp. 11-24

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

The main theorems concern the relation between the - compact spaces and the -regular spaces, and their analogues in uniform spaces. In either of the categories of Tychonoff spaces or uniform spaces, let be a class of spaces, let be the epi-reflective hull of se (closed subspaces of products of members of ), let be the “onto-reflective” hull of (all subspaces of products of members of ), and let r and o be the associated functors. Let be the class of spaces which admit a perfect map into a member of . Then, is epi-reflective (and in Tych, = but in Unif, the equality fails); call the functor p. 
Hager, Anthony W. Perfect Maps and Epi-Reflective Hulls. Canadian journal of mathematics, Tome 27 (1975) no. 1, pp. 11-24. doi: 10.4153/CJM-1975-003-6
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