A local-nonglobal Hurewicz fibration
Patricia Tulley McAuley, Gerald S. Ungar (1979)
Colloquium Mathematicae
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Patricia Tulley McAuley, Gerald S. Ungar (1979)
Colloquium Mathematicae
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We study the local dual spaces of a Banach space X, which can be described as the subspaces of X* that have the properties that the principle of local reflexivity attributes to X as a subspace of X**. We give several characterizations of local dual spaces, which allow us to show many examples. Moreover, every separable space X has a separable local dual Z, and we can choose Z with the metric approximation property if X has it. We also show that a separable space containing...
Mauro Fabrizio, Giorgio Gentili (1987)
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We study the existence of attractors for partly dissipative systems in ℝⁿ. For these systems we prove the existence of global attractors with attraction properties and compactness in a slightly weaker topology than the topology of the phase space. We obtain abstract results extending the usual theory to encompass such two-topologies attractors. These results are applied to the FitzHugh-Nagumo equations in ℝⁿ and to Field-Noyes equations in ℝ. Some embeddings between uniformly local spaces...