Geodesic
On free groups in classes of groups with topologies
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2013), pp. 61-79.

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We study properties of free groups in distinct classes of groups with topologies. The conditions under which the quasi-metric on the space of generators $X$ is extended to an invariant quasi-metric on a free group $F(X,\mathcal V)$ in the fixed quasi-variety $\mathcal V$ of groups with topologies are given. This result is applied to the study: – of free paratopological groups; – of free quasitopological groups; – of free semitopological groups; – of free left topological groups. 
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Mitrofan M. Choban; Liubomir L. Chiriac. On free groups in classes of groups with topologies. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2013), pp. 61-79. http://geodesic.mathdoc.fr/item/BASM_2013_2_a7/

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