Openness of the set of boundary preserving maps of an annulus with intermingled attracting basins

Author: Ilyashenko Yuli  

Publisher: Springer Publishing Company

ISSN: 1661-7738

Source: Journal of Fixed Point Theory and Applications, Vol.3, Iss.2, 2008-09, pp. : 449-463

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Abstract

We prove that the set of smooth maps of an annulus with two attracting sets, both having metrically dense attracting basins, is open in an appropriate function space. Thus a 1994 claim of I. Kan is justified.