We have established the topological properties of free homogeneous spaces and studied the action of the functor of a free homogeneous space on pairs of topological spaces.
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V. K. Bel’nov, “Dimensionality of topologically homogeneous spaces and free homogeneous spaces,” Dokl. Akad. Nauk SSSR, 238, No. 4, 781–784 (1978).
M. G. Megrelishvili, “Topological spaces with isomorphic free homogeneous spaces,” Soobshch. Akad. Nauk Gruz. SSR, 103, No. 3, 549–552 (1981).
N. G. Okromeshko, “On the retractions of homogeneous spaces,” Dokl. Akad. Nauk SSSR, 268, No. 3, 547–551 (1983).
D. Dikranjan and M. Tkachenko, “Weakly complete free topological groups,” Topol. Appl., 112, 259–287 (2001).
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 52, No. 1, pp. 67–71, January–March, 2009.
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Pyrch, N.M. Free homogeneous spaces and their subspaces. J Math Sci 168, 585–589 (2010). https://doi.org/10.1007/s10958-010-0009-8
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DOI: https://doi.org/10.1007/s10958-010-0009-8