On free topological groups
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2009), pp. 58-66
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In the present article the existence and unicity of almost $(\mathcal U,\mathcal V)$-free group over given space, where $\mathcal U,\mathcal V$ are classes of topological groups is studied. If $\mathcal V$ is a quasivariety of compact topological groups and $\mathcal V\subseteq\mathcal U$, then these objects exist for any space. If $W$ is a quasivariety of compact groups, $\mathcal U=\mathcal V$ is the class of all pseudocompact subgroups of groups from $W$, then the almost $(\mathcal U,\mathcal V)$-free groups exist only for some special spaces.
@article{BASM_2009_1_a5,
author = {Ina Ciobanu},
title = {On free topological groups},
journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
pages = {58--66},
publisher = {mathdoc},
number = {1},
year = {2009},
language = {en},
url = {http://geodesic.mathdoc.fr/item/BASM_2009_1_a5/}
}
Ina Ciobanu. On free topological groups. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2009), pp. 58-66. http://geodesic.mathdoc.fr/item/BASM_2009_1_a5/