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ON RESOLUTIONS OF CONTINUOUS MAPPINGS
Mathematics of the USSR-Sbornik, 1970For any closed map f of a normal space X onto a space Y, and any module L over a commutative ring with unit, a resolution of the sheaf Y×L is constructed and applied to a problem of dimension theory. Bibliography: 6 titles.
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Continuity of fuzzy multivalued mappings
Fuzzy Sets and Systems, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Elena Tsiporkova +2 more
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Continuity of Entropy for Bimodal Maps
Journal of the London Mathematical Society, 1995The authors use Misiurewicz's result to characterize the continuity of the topological entropy of bimodal maps of \(\ell\) or \({\mathfrak I}\) in terms of the behaviour of the iterates of the turning points and the value of the topological entropy of the maps under consideration \((\ell\) and \({\mathfrak I}\) denote the spaces of all continuous maps ...
Alsedà, Lluís +2 more
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Continuous Approximation of Nonsmooth Mappings
1999We introduce the concept of approximator, i.e. a first order local approximation of a mapping, which depends on some point and on the directions without any assumptions of homogeneity. This is done in order to overcome the tight connection, shown by directional derivatives, between continuity with respect to the point and linearity with respect to the ...
RUBINOV A., ZAFFARONI, Alberto
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A theorem on the holomorphy of continuous mappings
Ukrainian Mathematical Journal, 1989\textit{D. Menchoff} [Math. Ann. 95, 640-670 (1926)] established that if a univalent continuous function f: \(D\to {\mathbb{C}}\) of a complex variable satisfies a certain condition K' in each point of D except possible in a countable set, then f is holomorphic in D. \textit{Yu. Yu. Trokhimchuk} [``Continuous mappings and the conditions of monogeneity''
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The continuity of the drop mapping
2002Summary: We investigate the continuity of the map \((x,A)\mapsto D(x,A)\) (the drop generated by \(x\) and \(A)\) in a Banach space with respect to different hypertopologies, and give some results in the hyperspace of sets having the drop property.
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Multiplicity of Continuous Mappings of Domains
Ukrainian Mathematical Journal, 2005Summary: We prove that either a proper mapping of a domain of an \(n\)-dimensional manifold onto a domain of another \(n\)-dimensional manifold of degree \(k\) is an interior mapping or there exists a point in the image that has at least \(| k| +2\) preimages. If the restriction of \(f\) to the interior of the domain is a zero-dimensional mapping, then,
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ON THE ANALYTIC CONTINUATION OF HOLOMORPHIC MAPPINGS
Mathematics of the USSR-Sbornik, 1975Let and be strictly pseudoconvex domains in with real analytic boundaries and , and let be a neighborhood of the point with connected. Assume that the mapping is holomorphic in , in , and that . The author proves that can be holomorphically continued to .
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