A characterization of local connectedness for generalized continua
L. Mohler (1970)
Colloquium Mathematicae
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L. Mohler (1970)
Colloquium Mathematicae
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B. E. Wilder (1968)
Colloquium Mathematicae
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A. K. Steiner (1970)
Colloquium Mathematicae
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Aleš Pultr, Věra Trnková (1967)
Commentationes Mathematicae Universitatis Carolinae
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Fox, Dorene J. (1994)
International Journal of Mathematics and Mathematical Sciences
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Zdeněk Frolík (1961)
Czechoslovak Mathematical Journal
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Alexandre N. Carvalho, Tomasz Dlotko (2004)
Colloquium Mathematicae
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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...
Nadal Batle Nicolau, Josep Grané Manlleu (1977)
Stochastica
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The Redfield topology on the space of real-valued continuous functions on a topological space is studied (we call it R-topology for short). The R-neighbourhoods are described relating them to the connectedness for the carriers. The main results are: If the space is totally disconnected without isolated points, the R-topology is not discrete. Under suitable conditions on the space, R-convergence implies pointwise or uniform convergence. Under some restrictions, R-convergence for a net...