The Solvable Length of a Solvable Linear Group.
John D. Dixon (1968)
Mathematische Zeitschrift
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The Solvable Length of a Solvable Linear Group.
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We investigate the solvability in continuous functions of the Abel equation φ(Fx) - φ(x) = 1 where F is a given continuous mapping of a topological space X. This property depends on the dynamics generated by F. The solvability of all linear equations P(x)ψ(Fx) + Q(x)ψ(x) = γ(x) follows from solvability of the Abel equation in case F is a homeomorphism. If F is noninvertible but X is locally compact then such a total solvability is determined by the same property of the cohomological...
On a generalization of nets
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Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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