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-  2018 

Inverse component cropping sequences and connected inverse limits over intervals

DOI: 10.3336/gm.53.2.09

Keywords: Inverse limits, upper semicontinuous functions, connectedness, component cropping sequences, inverse component cropping sequences

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Abstract:

Sa?etak We give a characterization of inverse sequences with upper semicontinuous bonding functions fi:[0,1] ? [0,1] for which the inverse limit of the inverse sequence with fi-1 as bonding functions is connected. As a byproduct, we obtain another characterization of connected inverse limits of inverse sequences with a single bonding function

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