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topological group; quotient group; locally compact subgroup; quotient mapping; perfect mapping; paracompact $p$-space; metrizable group; countable tightness

References:

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[9] Henriksen M., Isbell J.R.: **Some properties of compactifications**. Duke Math. J. 25 (1958), 83-106. MR 0096196 | Zbl 0081.38604

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[11] Michael E.: **A quintuple quotient quest**. General Topology Appl. 2 (1972), 91-138. MR 0309045 | Zbl 0238.54009

[12] Roelke W., Dierolf S.: **Uniform Structures on Topological Groups and Their Quotients**. McGraw-Hill, New York, 1981.

[13] Uspenskij V.V.: **Topological groups and Dugundji spaces**. Mat. Sb. 180:8 (1989), 1092-1118. MR 1019483