Email this article Determinability of Hewitt spaces by the lattices of subalgebras with unit of semifields of continuous positive functions with max-plus
- Authors: Sidorov V.1
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Affiliations:
- Department of Fundamental and Computer Mathematics, Institute of Mathematics and Information Systems
- Issue: Vol 38, No 4 (2017)
- Pages: 741-750
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/199737
- DOI: https://doi.org/10.1134/S1995080217040199
- ID: 199737
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Abstract
The lattice A1(U∨(X)) of subalgebras with unit of the semifield U∨(X) of continuous positive functions defined on a topological space X is considered. A topological space is said to be a Hewitt space if it is homeomorphic to a closed subspace of a Tychonoff power of the real line R. The main achievement of the paper is the proof of the fact that any Hewitt space X is determined by the lattice A1(U∨(X)).
About the authors
V. Sidorov
Department of Fundamental and Computer Mathematics, Institute of Mathematics and Information Systems
Author for correspondence.
Email: sedoy_vadim@mail.ru
Russian Federation, Moskovskaya ul. 36, Kirov
