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Original scientific paper
https://doi.org/10.3336/gm.55.1.11

Approximate inverse limits and (m,n)-dimensions

Matthew Lynam ; Department of Mathematics, East Central University, Ada, Oklahoma 74820, USA
Leonard R. Rubin   ORCID icon orcid.org/0000-0002-1108-0267 ; Department of Mathematics, University of Oklahoma, Norman, Oklahoma 73019, USA

Fulltext: english, pdf (156 KB) pages 129-142 downloads: 126* cite
APA 6th Edition
Lynam, M. & Rubin, L.R. (2020). Approximate inverse limits and (m,n)-dimensions. Glasnik matematički, 55 (1), 129-142. https://doi.org/10.3336/gm.55.1.11
MLA 8th Edition
Lynam, Matthew and Leonard R. Rubin. "Approximate inverse limits and (m,n)-dimensions." Glasnik matematički, vol. 55, no. 1, 2020, pp. 129-142. https://doi.org/10.3336/gm.55.1.11. Accessed 21 Oct. 2021.
Chicago 17th Edition
Lynam, Matthew and Leonard R. Rubin. "Approximate inverse limits and (m,n)-dimensions." Glasnik matematički 55, no. 1 (2020): 129-142. https://doi.org/10.3336/gm.55.1.11
Harvard
Lynam, M., and Rubin, L.R. (2020). 'Approximate inverse limits and (m,n)-dimensions', Glasnik matematički, 55(1), pp. 129-142. https://doi.org/10.3336/gm.55.1.11
Vancouver
Lynam M, Rubin LR. Approximate inverse limits and (m,n)-dimensions. Glasnik matematički [Internet]. 2020 [cited 2021 October 21];55(1):129-142. https://doi.org/10.3336/gm.55.1.11
IEEE
M. Lynam and L.R. Rubin, "Approximate inverse limits and (m,n)-dimensions", Glasnik matematički, vol.55, no. 1, pp. 129-142, 2020. [Online]. https://doi.org/10.3336/gm.55.1.11

Abstracts
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.

Keywords
Dimension, (m,n)-dim; approximate inverse system

Hrčak ID: 239052

URI
https://hrcak.srce.hr/239052

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