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A transitive map on $ [0,1]$ whose inverse limit is the pseudoarc

Authors: Piotr Minc and W. R. R. Transue
Journal: Proc. Amer. Math. Soc. 111 (1991), 1165-1170
MSC: Primary 54H20; Secondary 54F15, 58F08, 58F13
MathSciNet review: 1042271
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Abstract: We construct a transitive map on $ [0,1]$ so that the inverse limit of copies of $ [0,1]$ with $ f$ as the bonding map is a pseudoarc.

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Keywords: Inverse limits, transitive map, pseudoarc
Article copyright: © Copyright 1991 American Mathematical Society

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