Geodesic
On iterated limits of subsets of a convergence $\ell $-group
Mathematica Bohemica, Tome 126 (2001) no. 1, pp. 53-61

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MR Zbl
In this paper we deal with the relation \[ \lim _\alpha \lim _\alpha X=\lim _\alpha X \] for a subset $X$ of $G$, where $G$ is an $\ell $-group and $\alpha $ is a sequential convergence on $G$.
In this paper we deal with the relation \[ \lim _\alpha \lim _\alpha X=\lim _\alpha X \] for a subset $X$ of $G$, where $G$ is an $\ell $-group and $\alpha $ is a sequential convergence on $G$.
DOI : 10.21136/MB.2001.133921
Classification : 06F15, 22C05
Keywords: convergence $\ell $-group; disjoint subset; direct product; lexico extension; sequential convergence 
Jakubík, Ján. On iterated limits of subsets of a convergence $\ell $-group. Mathematica Bohemica, Tome 126 (2001) no. 1, pp. 53-61. doi: 10.21136/MB.2001.133921
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