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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

Fulltext: english, pdf (146 KB) pages 371-384 downloads: 206* cite
APA 6th Edition
Banič, I. & Črepnjak, M. (2018). Inverse component cropping sequences and connected inverse limits over intervals. Glasnik matematički, 53 (2), 371-384. https://doi.org/10.3336/gm.53.2.09
MLA 8th Edition
Banič, Iztok and Matevž Črepnjak. "Inverse component cropping sequences and connected inverse limits over intervals." Glasnik matematički, vol. 53, no. 2, 2018, pp. 371-384. https://doi.org/10.3336/gm.53.2.09. Accessed 27 Nov. 2021.
Chicago 17th Edition
Banič, Iztok and Matevž Črepnjak. "Inverse component cropping sequences and connected inverse limits over intervals." Glasnik matematički 53, no. 2 (2018): 371-384. https://doi.org/10.3336/gm.53.2.09
Harvard
Banič, I., and Črepnjak, M. (2018). 'Inverse component cropping sequences and connected inverse limits over intervals', Glasnik matematički, 53(2), pp. 371-384. https://doi.org/10.3336/gm.53.2.09
Vancouver
Banič I, Črepnjak M. Inverse component cropping sequences and connected inverse limits over intervals. Glasnik matematički [Internet]. 2018 [cited 2021 November 27];53(2):371-384. https://doi.org/10.3336/gm.53.2.09
IEEE
I. Banič and M. Črepnjak, "Inverse component cropping sequences and connected inverse limits over intervals", Glasnik matematički, vol.53, no. 2, pp. 371-384, 2018. [Online]. https://doi.org/10.3336/gm.53.2.09

Abstracts
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

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