Geodesic
A Compactification with θ-Continuous Lifting Property
Canadian journal of mathematics, Tome 34 (1982) no. 6, pp. 1330-1334

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

1. Let X be a topological space, and let X′ be the set of all non-convergent ultrafilters on X. If A ⊆ X, let , and A* = A ∪ A′. If is a filter on X such that for all , then let. be the filter on X* generated by ; let be the filter on X* generated by . If exists then ; otherwise, .A convergence is defined on X* as follows: If x ∈ X, then a filter A → x in X* if and only if , where Vx (x) is the X neighborhood filter at x; , then in X* if and only if . 
Kent, D. C.; Richardson, G. D. A Compactification with θ-Continuous Lifting Property. Canadian journal of mathematics, Tome 34 (1982) no. 6, pp. 1330-1334. doi: 10.4153/CJM-1982-092-7
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