Determinability of Hewitt spaces by the lattices of subalgebras with unit of semifields of continuous positive functions with max-plus
- Авторлар: Sidorov V.1
-
Мекемелер:
- Department of Fundamental and Computer Mathematics, Institute of Mathematics and Information Systems
- Шығарылым: Том 38, № 4 (2017)
- Беттер: 741-750
- Бөлім: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/199737
- DOI: https://doi.org/10.1134/S1995080217040199
- ID: 199737
Дәйексөз келтіру
Аннотация
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)).
Негізгі сөздер
Авторлар туралы
V. Sidorov
Department of Fundamental and Computer Mathematics, Institute of Mathematics and Information Systems
Хат алмасуға жауапты Автор.
Email: sedoy_vadim@mail.ru
Ресей, Moskovskaya ul. 36, Kirov