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Repozytorium publikacji
Politechniki Gdańskiej

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Shub’s conjecture for smooth longitudinal maps of S^m

Let f be a smooth map of the m-dimensional sphere Sm to itself, preserving the longitudinal foliation. We estimate from below the number of fixed points of the iterates of f , reduce Shub’s conjecture for longitudinal maps to a lower dimensional classical version, and prove the conjecture in case m = 2 and in a weak form for m = 3.

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