On locally solid topological lattice groups
نویسندگان
چکیده
منابع مشابه
On Locally Solid Topological Lattice Groups
Let (G, τ ) be a commutative Hausdorff locally solid lattice group. In this paper we prove the following: (1) If (G, τ ) has the A(iii)-property, then its completion (Ĝ, τ̂ ) is an order-complete locally solid lattice group. (2) If G is order-complete and τ has the Fatou property, then the order intervals of G are τ -complete. (3) If (G, τ ) has the Fatou property, then G is order-dense in Ĝ and...
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ژورنال
عنوان ژورنال: Czechoslovak Mathematical Journal
سال: 2007
ISSN: 0011-4642,1572-9141
DOI: 10.1007/s10587-007-0088-y