Glasnik Matematicki, Vol. 55, No. 1 (2020), 129-142.

APPROXIMATE INVERSE LIMITS AND (M,N)-DIMENSIONS

Matthew Lynam and Leonard R. Rubin

Department of Mathematics, East Central University, Ada, Oklahoma 74820, USA
e-mail: mlynam@ecok.edu

Department of Mathematics, University of Oklahoma, Norman, Oklahoma 73019, USA
e-mail: lrubin@ou.edu

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.

2010 Mathematics Subject Classification.   54F45

Key words and phrases.   Dimension, (m,n)-dim , approximate inverse system

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https://doi.org/10.3336/gm.55.1.11

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