Glasnik matematički, Vol. 53 No. 2, 2018.
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
Publication date:
30.12.2018.
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