منابع مشابه
Some Nasty Reflexive Groups
In Almost Free Modules, Set-theoretic Methods, Eklof and Mekler [5, p. 455, Problem 12] raised the question about the existence of dual abelian groups G which are not isomorphic to Z ⊕G. Recall that G is a dual group if G ∼= D for some groupD withD = Hom (D,Z). The existence of such groups is not obvious because dual groups are subgroups of cartesian products Z and therefore have very many homo...
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It is proved that any infinite Abelian group of infinite exponent admits a non-discrete reflexive group topology. Introduction For a topological group G, the group G of continuous homomorphisms (characters) into the torus T = {z ∈ C : |z| = 1} endowed with the compact-open topology is called the character group of G and G is named Pontryagin reflexive or reflexive if the canonical homomorphism ...
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We discuss below some problems concerning a certain class of algebras of operators on complex Banach space. Each algebra of the class arises from a lattice of subspaces of the underlying space (in a way that will soon be made precise) and most of the problems are of the fonn: find conditions, additional to those specified a priori, on the lattice of subspaces, which are both necessary and suffi...
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Answering problem (DG) of [1], [2], we show that there is a reflexive group of cardinality which equals to the first measurable cardinal.
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A s my 6-year term as Chief Editor of EMBO Reports draws to its close, I think it’s time to offer a personal reflection on what it’s like to have been in what some may think of as one of the most hated positions in academic science. I consider myself lucky that at least a handful of colleagues are still speaking both to me and to my team of professional editors in Heidelberg, who do all the wor...
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ژورنال
عنوان ژورنال: Mathematische Zeitschrift
سال: 2001
ISSN: 0025-5874
DOI: 10.1007/pl00004879