An analytic representation for selfmaps of a countably infinite set and its cycles.
H.W. Engl (1982)
Aequationes mathematicae
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H.W. Engl (1982)
Aequationes mathematicae
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Walter A. Jr. Pranger (1969)
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W. Smajdor (1968)
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J.L. Walsh (1968)
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Carl C. Cowen (1981)
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G.P. Peljuh (1977)
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W. Smajdor (1968)
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W. SMAJDOR (1969)
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David Mathieu (2000)
Annales de l'institut Fourier
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We study analytic families of non-compact cycles, and prove there exists an analytic space of finite dimension, which gives a universal reparametrization of such a family, under some assumptions of regularity. Then we prove an analogous statement for meromorphic families of non-compact cycles. That is a new approach to Grauert’s results about meromorphic equivalence relations.