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.org/0000-0002-1108-0267 ; Department of Mathematics, University of Oklahoma, Norman, Oklahoma 73019, USA

Abstract

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

Publication date:

12.6.2020.

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