Geodesic
Relative Preimage Problem
Matematičeskie zametki, Tome 80 (2006) no. 2, pp. 282-295.

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We pose the problem of minimization for the relative preimage problem and prove a minimization theorem. The relative common preimage problem for a finite system of maps, whose particular cases are the relative coincidence and common root problems for finitely many maps, is reduced to the relative preimage problem. As corollaries, results concerning the relative coincidence problems for two maps, problems of fixed points and roots are obtained; these results, with certain distinctions, can be found in known papers by other authors.
Keywords: smooth manifold, map of pairs, minimization problem, Nielsen numbers, fixed point, common roots.
Mots-clés : preimage points 
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O. D. Frolkina. Relative Preimage Problem. Matematičeskie zametki, Tome 80 (2006) no. 2, pp. 282-295. http://geodesic.mathdoc.fr/item/MZM_2006_80_2_a13/

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