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

Voir la notice de l'article provenant de la source Math-Net.Ru

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 
@article{MZM_2006_80_2_a13,
     author = {O. D. Frolkina},
     title = {Relative {Preimage} {Problem}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {282--295},
     publisher = {mathdoc},
     volume = {80},
     number = {2},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2006_80_2_a13/}
}
TY  - JOUR
AU  - O. D. Frolkina
TI  - Relative Preimage Problem
JO  - Matematičeskie zametki
PY  - 2006
SP  - 282
EP  - 295
VL  - 80
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2006_80_2_a13/
LA  - ru
ID  - MZM_2006_80_2_a13
ER  - 
%0 Journal Article
%A O. D. Frolkina
%T Relative Preimage Problem
%J Matematičeskie zametki
%D 2006
%P 282-295
%V 80
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2006_80_2_a13/
%G ru
%F MZM_2006_80_2_a13
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/