Approximate inverse limits and (m,n)-dimensions
In 2012, V. Fedorchuk, using m-pairs and n-partitions, introduced the notion of the (m,n)-dimension of a space. It generalizes covering dimension. Here we are going to look at this concept in the setting of approximate inverse systems of compact metric spaces. We give a characterization of (m,n)-dim...
| Permalink: | http://skupnikatalog.nsk.hr/Record/nsk.NSK01001098340/Details |
|---|---|
| Matična publikacija: |
Glasnik matematički (Online) 55 (2020), 1 ; str. 129-142 |
| Glavni autori: | Lynam, Matthew (Author), Rubin, Leonard R. |
| Vrsta građe: | e-članak |
| Jezik: | eng |
| Predmet: | |
| Online pristup: |
https://doi.org/10.3336/gm.55.1.11 Hrčak |
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| 003 | HR-ZaNSK | ||
| 005 | 20210610150903.0 | ||
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| 008 | 210420s2020 ci |o |0|| ||eng | ||
| 024 | 7 | |2 doi |a 10.3336/gm.55.1.11 | |
| 035 | |a (HR-ZaNSK)001098340 | ||
| 040 | |a HR-ZaNSK |b hrv |c HR-ZaNSK |e ppiak | ||
| 041 | 0 | |a eng |b eng | |
| 042 | |a croatica | ||
| 044 | |a ci |c hr | ||
| 080 | 1 | |a 51 |2 2011 | |
| 100 | 1 | |a Lynam, Matthew |4 aut |9 HR-ZaNSK | |
| 245 | 1 | 0 | |a Approximate inverse limits and (m,n)-dimensions |h [Elektronička građa] / |c Matthew Lynam, Leonard R. Rubin. |
| 504 | |a Bibliografske bilješke na kraju teksta. | ||
| 504 | |a Abstract. | ||
| 520 | |a In 2012, V. Fedorchuk, using m-pairs and n-partitions, introduced the notion of the (m,n)-dimension of a space. It generalizes covering dimension. Here we are going to look at this concept in the setting of approximate inverse systems of compact metric spaces. We give a characterization of (m,n)-dim X, where X is the limit of an approximate inverse system, strictly in terms of the given system. | ||
| 653 | 0 | |a Aproksimativni inverzni sustavi |a Aproksimativni limesi |a Dimenzije | |
| 700 | 1 | |a Rubin, Leonard R. |4 aut | |
| 773 | 0 | |t Glasnik matematički (Online) |x 1846-7989 |g 55 (2020), 1 ; str. 129-142 |w nsk.(HR-ZaNSK)000659858 | |
| 981 | |b Be2020 |b B03/20 | ||
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| 856 | 4 | 0 | |u https://doi.org/10.3336/gm.55.1.11 |
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| 856 | 4 | 1 | |y Digitalna.nsk.hr |