Glasnik matematički, Vol. 55 No. 1, 2020.
Izvorni znanstveni članak
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
Sažetak
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.
Ključne riječi
Dimension, (m,n)-dim; approximate inverse system
Hrčak ID:
239052
URI
Datum izdavanja:
12.6.2020.
Posjeta: 763 *