A metrizable Lawson semitopological semilattice with non-closed partial order

Autor: Taras Banakh, Serhii Bardyla, Alex Ravsky
Jazyk: English<br />Ukrainian
Rok vydání: 2020
Předmět:
Zdroj: Pracì Mìžnarodnogo Geometričnogo Centru, Vol 13, Iss 3, Pp 10-17 (2020)
Druh dokumentu: article
ISSN: 2072-9812
2409-8906
DOI: 10.15673/tmgc.v13i3.1756
Popis: We construct a metrizable Lawson semitopological semilattice $X$ whose partial order $\le_X\,=\{(x,y)\in X\times X:xy=x\}$ is not closed in $X\times X$. This resolves a problem posed earlier by the authors.
Databáze: Directory of Open Access Journals