| Title: | Characterizing inverse sequences for which their inverse limits are homeomorphic |
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| Authors: | ID Črepnjak, Matevž (Author)
ID Sovič, Tina (Author) |
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| Files: |  s10474-024-01394-2.pdf (395,75 KB)
MD5: 6AED1C1D01FC6B07D15452166A160AA3
 https://dx.doi.org/10.1007/s10474-024-01394-2
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| Language: | English |
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| Work type: | Scientific work |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | FKKT - Faculty of Chemistry and Chemical Engineering
FGPA - Faculty of Civil Engineering, Transportation Engineering and Architecture
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| Abstract: | In [11], Mioduszewski characterized inverse sequences of polyhedra for which their inverse limits are homeomorphic. In this article, we obtain a more general characterization: we characterize inverse sequences of arbitrary compact metric spaces and continuous single-valued functions for which their inverse limits are homeomorphic. In our approach, set-valued functions are used instead of continuous single-valued functions in almost commutative diagrams. Using this characterization we give an alternative proof that the Brouwer-Janiszewski-Knaster continuum and the pseudo-arc are circle-like continua. |
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| Keywords: | inverse limit, compact metric space, set-valued function |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Submitted for review: | 14.02.2023 |
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| Article acceptance date: | 03.10.2023 |
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| Publication date: | 20.02.2024 |
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| Publisher: | Springer Nature (Akadémiai Kiadó) |
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| Year of publishing: | 2024 |
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| Number of pages: | str. 42-61 |
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| Numbering: | Vol. 172, iss.1 |
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| PID: | 20.500.12556/DKUM-91913  |
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| UDC: | 515.126 |
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| ISSN on article: | 0236-5294 |
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| COBISS.SI-ID: | 188657411 |
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| DOI: | 10.1007/s10474-024-01394-2 |
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| Copyright: | © 2024 The Author(s) |
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| Publication date in DKUM: | 27.02.2025 |
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| Views: | 256 |
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| Downloads: | 16 |
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| Metadata: |    |
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| Categories: | Misc.
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