Geodesic
Relations among the invariants of topological groups and their subspaces
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 35 (1980) no. 3, pp. 1-23

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In this paper we study topological properties of topological groups and, first of all, cardinal invariants of topological groups. Many of the relevant questions are subsumed under the following general scheme: how does the compatibility of the topology with the group structure reflect on the relations among the invariants of this topology? We use the notation and terminology of $ \lbrack 4\rbrack$. Cardinal invariants of a topological group are understood to mean those of its underlying space, which is assumed throughout to be completely regular and $ T_1$. Proofs are given in condensed form or omitted altogether. 
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     author = {A. V. Arkhangel'skii},
     title = {Relations among the invariants of topological groups and their subspaces},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
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A. V. Arkhangel'skii. Relations among the invariants of topological groups and their subspaces. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 35 (1980) no. 3, pp. 1-23. http://geodesic.mathdoc.fr/item/RM_1980_35_3_a0/