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On minimal homeomorphisms on Peano continua

Publication at Faculty of Mathematics and Physics |
2016

Abstract

Following the question of Artigue we construct a minimal homeomorphism g:X to X on a Peano continuum Xwith the following property: there exist a positive number epsilon and a dense G delta subset E of X such that every non-trivial subcontinuum of X intersecting E expands under iterations of g to a continuum of diameter greater than epsilon.