Original scientific paper

https://doi.org/10.3336/gm.53.2.09

Inverse component cropping sequences and connected inverse limits over intervals

Iztok Banič ; Faculty of Natural Sciences and Mathematics, University of Maribor, SI-2000 Maribor, Slovenia
Matevž Črepnjak ; Faculty of Natural Sciences and Mathematics, University of Maribor, SI-2000 Maribor, Slovenia

Abstract

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.

Keywords

Inverse limits; upper semicontinuous functions; connectedness; component cropping sequences; inverse component cropping sequences

Hrčak ID:

214480

URI

https://hrcak.srce.hr/214480

Publication date:

30.12.2018.

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