Root problem for convenient maps
Keywords
Root problem, convenient map, mutation of homomorphism, symbolic mutation, system of equation on free groupAbstract
In this paper we study when the minimal number of roots of the so-called convenient maps from two-dimensional CW complexes into closed surfaces is zero. We present several necessary and sufficient conditions for such a map to be root free. Among these conditions we have the existence of specific liftings for the homomorphism induced by the map on the fundamental groups, existence of the so-called mutation of a specific homomorphism also induced by the map, and existence of particular solutions of specific systems of equations on free groups over specific subgroups.Downloads
Published
2010-04-23
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1.
FENILLE, Marcio Colombo and NETO, Oziride Manzoli. Root problem for convenient maps. Topological Methods in Nonlinear Analysis. Online. 23 April 2010. Vol. 36, no. 2, pp. 327 - 352. [Accessed 28 March 2024].
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