منابع مشابه
means of continuous selections ∗
If a discrete subset S of a topological group G with the identity 1 generates a dense subgroup of G and S ∪ {1} is closed in G, then S is called a suitable set for G. We apply Michael’s selection theorem to offer a direct, self-contained, purely topological proof of the result of Hofmann and Morris [8] on the existence of suitable sets in locally compact groups. Our approach uses only elementar...
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Given a strictly positive measure, we characterize inner semicontinuous solid convex-valued mappings for which continuous functions which are selections almost everywhere are selections. This class contains continuous mappings as well as fully lower semicontinuous closed convex-valued mappings that arise in variational analysis and optimization of integral functionals. The characterization allo...
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Geometric characteristics of 2-manifolds embedded in R space have been analyzed from the point of view of differential geometry and topology. In the past, results relevant to these areas have been found for C curves and surfaces. However, current scientific, industrial, entertainment and medical applications, and availability of more powerful point sampling systems, press for characterization o...
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ژورنال
عنوان ژورنال: Topological Methods in Nonlinear Analysis
سال: 2001
ISSN: 1230-3429
DOI: 10.12775/tmna.2001.029