Geodesic
On~a~problem of Zambakhidze--Smirnov
Matematičeskie zametki, Tome 58 (1995) no. 1, pp. 3-11

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We say that the action extension problem is solvable for a bicompact group $G$ if for any metric $G$-space $\mathbb X$ and for any topological embedding $c$ of the orbit space $X$ into a metric space $Y$ there exist a $G$-space $\mathbb Z$, an invariant topological embedding $b\colon X\to\mathbb Z$, and a homeomorphism $h\colon Y\to Z$ such that the diagram $$ 
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     author = {S. M. Ageev},
     title = {On~a~problem of {Zambakhidze--Smirnov}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {3--11},
     publisher = {mathdoc},
     volume = {58},
     number = {1},
     year = {1995},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1995_58_1_a0/}
}
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S. M. Ageev. On~a~problem of Zambakhidze--Smirnov. Matematičeskie zametki, Tome 58 (1995) no. 1, pp. 3-11. http://geodesic.mathdoc.fr/item/MZM_1995_58_1_a0/