منابع مشابه
Continuous actions of pseudocompact groups and axioms of topological group
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Here are three recently-established theorems from the literature. (A) (2006) Every non-metrizable compact abelian group K has 2|K|-many proper dense pseudocompact subgroups. (B) (2003) Every non-metrizable compact abelian group K admits 22 |K| -many strictly finer pseudocompact topological group refinements. (C) (2007) Every non-metrizable pseudocompact abelian group has a proper dense pseudoco...
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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: Topology and its Applications
سال: 1995
ISSN: 0166-8641
DOI: 10.1016/0166-8641(94)00048-8