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Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti, No. 564=29, 2025.

Original scientific paper

https://doi.org/10.21857/y54jof4wpm

Characterizing strong infinite-dimension, weak infinite-dimension, and dimension in inverse system

Matthew Lynam ; Department of Mathematics, East Central University,Ada, Oklahoma 74820, USA
Leonard R. Rubin ; Department of Mathematics, University of Oklahoma, Norman, Oklahoma 73019, USA

Full text: english pdf 655 Kb

page 299-318

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Abstract

e present internal characterizations for an inverse system of compact Hausdorff spaces that show when its limit will be strongly infinite-dimensional, weakly infinite-dimensional, or have its dimension dim ∈ N≥ 0. The technique involves essential families.

Keywords

Dimension; essential family; inverse system; strong infinite-dimension; weak infinite-dimension

Hrčak ID:

326529

URI

https://hrcak.srce.hr/326529

Publication date:

9.1.2025.

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