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connected; locally connected; free topological group; condensation; connectification

References:

[1] Alas O.T., Tkačenko M.G., Tkachuk V.V., Wilson R.G.: **Connectifying some spaces**. Topology and its Applications, to appear. MR 1397942

[2] Arhangel'skii A.V., Ponomarev V.I.: **General Topology in Problems and Exercises (in Russian)**. Nauka Publishing House, Moscow, 1974. MR 0239550

[3] Arhangel'skii A.V.: **The structure and classification of topological spaces and cardinal invariants (in Russian)**. Uspehi Mat. Nauk 33.6 (1978), 29-84. MR 0526012

[5] Graev M.I.: **Theory of topological groups, I (in Russian)**. Uspehi Mat. Nauk 5.2 (1950), 3-56. MR 0036245

[6] Miller A.W.: **Special subsets of the real line**. in: Handbook of Set-Theoretic Topology (Eds. K.Kunen, J.E.Vaughan), Elsevier S.P. B.V., 1984, pp.203-233. MR 0776624 | Zbl 0588.54035

[7] Rudin M.E.: **Martin's axiom**. in: Handbook of Mathematical Logic, edited by J.Barwise, Amsterdam, North Holland P.C., 1977, pp.491-501. MR 0457132

[8] Shapirovsky B.E.: **On mappings onto Tychonoff cubes (in Russian)**. Uspehi Mat. Nauk 35.3 (1980), 122-130.

[9] Tkačenko M.G.: **Examples of connected left separated spaces and topological groups**. Acta Math., Acad. Sci. Hungar. 38.4 (1981), 257-261. MR 0647345

[10] Tkačenko M.G.: **On group uniformities on the square of a space and extending pseudometrics**. Bull. Austral. Math. Soc. 51.2 (1995), 309-335. MR 1322797

[11] Watson S., Wilson R.G.: **Embeddings in connected spaces**. Houston J. Math. 19.3 (1993), 469-481. MR 1242433 | Zbl 0837.54012