Geodesic
A generic theorem in the theory of cardinal invariants of topological spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995) no. 2, pp. 303-325

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Relative versions of many important theorems on cardinal invariants of topological spaces are formulated and proved on the basis of a general technical result, which provides an algorithm for such proofs. New relative cardinal invariants are defined, and open problems are discussed.
Classification : 54A25, 54D20
Keywords: Lindelöf space; Souslin number; spread; extent; pseudocharacter; relative cardinal invariant 
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Arhangel'skii, A. V. A generic theorem in the theory of cardinal invariants of topological spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995) no. 2, pp. 303-325. http://geodesic.mathdoc.fr/item/CMUC_1995__36_2_a10/