1. Nearly disjoint sequences in convergence l-groups
- Creator:
- Jakubík, Ján
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- nearly disjoint sequence, strong convergence, and convergence \ell-group
- Language:
- English
- Description:
- For an abelian lattice ordered group G let conv G be the system of all compatible convergences on G; this system is a meet semilattice but in general it fails to be a lattice. Let and be the convergence on G which is generated by the set of all nearly disjoint sequences in G, and let a be any element of conv G. In the present paper we prove that the join and V a does exist in conv G.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public