Geodesic
The Cohen–Lusk Conjecture
Matematičeskie zametki, Tome 70 (2001) no. 1, pp. 22-26 Cet article a éte moissonné depuis la source Math-Net.Ru

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The question of Cohen and Lusk about the partial gluing of an orbit under a map of a free $Z_p$-space to $\mathbb R^n$ is answered in part. 
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D. V. Bolotov. The Cohen–Lusk Conjecture. Matematičeskie zametki, Tome 70 (2001) no. 1, pp. 22-26. http://geodesic.mathdoc.fr/item/MZM_2001_70_1_a2/

[1] Cohen F., Lusk E. L., “Configuration-like spaces and the Borsuk–Ulam Thereom”, Proc. Amer. Math. Soc., 56 (1976), 313–317 | DOI | MR | Zbl

[2] Cohen F., Lusk E. L., “Coinsidence point result for spaces with free $Z_p$-action”, Proc. Amer. Math. Soc., 49:1 (1975), 313–317 | DOI

[3] Volovikov A. Yu., “Otobrazheniya svobodnykh $Z_p$-prostranstv v mnogoobraziya”, Izv. AN SSSR. Ser. matem., 46:1 (1982), 36–55 | MR | Zbl