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MATHEMATICA BOHEMICA, Vol. 126, No. 1, pp. 53-61 (2001)
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# On iterated limits of subsets of

a convergence $\ell$-group

## Jan Jakubik

* Jan Jakubik*, Matematicky ustav SAV, Gresakova 6, 040 01 Kosice, Slovakia

**Abstract:**
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 $G$.

**Keywords:** convergence $\ell$-group, disjoint subset, direct product, lexico extension

**Classification (MSC2000):** 06F15, 22C05

**Full text of the article:**

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