Listar por tema "Dual group"
Mostrando ítems 1-4 de 4
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Automatic continuity of biseparating homomorphisms defined between groups of continuous functions
Elsevier (2010)Let C(X,T{double-struck}) be the group of continuous functions of a compact Hausdorff space X to the unit circle of the complex plane T{double-struck} with the pointwise multiplication as the composition law. We investigate ... -
Self-duality in the class of precompact groups
Elsevier (2009)A topological Abelian group G is called (strongly) self-dual if there exists a topological isomorphism Φ : G → G<sup>∧</sup> of G onto the dual group G<sup>∧</sup> (such that Φ (x) (y) = Φ (y) (x) for all x, y ∈ G). We ...
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The character of topological groups, via Pontryagin-van Kampen duality
(2011-06)The Birkhoff-Kakutani Theorem asserts that a topological group is metrizable if and only if it has countable character. We develop and apply tools for the estimation of the character for a wide class of nonmetrizable ... -
Uncountable products of determined groups need not be determined
Elsevier (2008)If H is a dense subgroup of G, we say that H determines G if their groups of characters are topologically isomorphic when equipped with the compact open topology. If every dense subgroup of G determines G, then we say that ...
