Cantor extension of an abelian lattice ordered group equipped with a weak relatively uniform convergence

In: Mathematica Slovaca, vol. 62, no. 5

Ján Jakubík - Štefan Černák

Detaily:

Rok, strany: 2012, 841 - 854

Kľúčové slová:

abelian lattice ordered group, weak relatively uniform convergence, Cantor extension, Dedekind completion, archimedean kernel

DOI: https://doi.org/10.2478/s12175-012-0049-2

O článku:

The notion of weak relatively uniform convergence ($wru$-convergence, for short) on an abelian lattice ordered group $G$ has been investigated in a previous authors' article. In the present paper we deal with Cantor extension of $G$ and completion of $G$ with respect to a $wru$-convergence on $G$.

Ako citovať:

ISO 690:

Jakubík, J., Černák, Š. 2012. Cantor extension of an abelian lattice ordered group equipped with a weak relatively uniform convergence. In Mathematica Slovaca, vol. 62, no.5, pp. 841-854. 0139-9918. DOI: https://doi.org/10.2478/s12175-012-0049-2

APA:

Jakubík, J., Černák, Š. (2012). Cantor extension of an abelian lattice ordered group equipped with a weak relatively uniform convergence. Mathematica Slovaca, 62(5), 841-854. 0139-9918. DOI: https://doi.org/10.2478/s12175-012-0049-2

O vydaní:

Publikované: 1. 10. 2012