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Showing 1 to 4 of 4 for “"Convergence spaces"”.
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Problems in the Theory of Convergence Spaces
… investigate several problems in the theory of convergence spaces: generalization of Kolmogorov separation from topological spaces to convergence spaces, representation of reflexive digraphs as convergence spaces, construction of differential calculi on convergence spaces, mereology on …
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The Differential Scheme and Quantum Computation
… instance of the differential scheme are <em>Convergence Spaces</em>. Convergence spaces generalize notions of continuity and convergence. The category of convergence spaces, <strong>Conv</strong>, subsumes both simple discrete structures (e.g., digraphs), and complex continuous structures …
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Elements of Convergence Approach Theory
<p>We introduce two generalizations to convergence approach spaces of classical results characterizing regularity of a convergence space in terms of continuous extensions of maps on one hand, and in terms of continuity of limits for the continuous convergence on the other. Characterizations are …
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Compact Filters and the Arzelá-Ascoli Theorem
… Arzelà-Ascoli type theorems is the continuous convergence - which is not necessarily topological even if the underlying base spaces are. Compact filters, on the other hand, are the logical extension of compact sets to filters with similar compactness-type properties. Compact filters have proved …