Constructive decomposition of functions of two variables using functions of one variable

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dc.creatorTrenklerova, Eva
dc.date2007-02-27
dc.date.accessioned2026-07-07T07:49:10Z
dc.date.available2026-07-07T07:49:10Z
dc.descriptionGiven a compact set K in the plane, which contains no triple of points forming a vertical and a horizontal segment, and a continuous real-valued map f on K, we give a construction of real-valued continuous maps of one variable g,h such that f(x,y)=g(x)+h(y) for all points (x,y) from K. This provides a constructive proof of a part of Sternfeld's theorem on basic embeddings in the plane. In the proof we construct a sequence of finite graphs, which provide an arbitrarily good approximation of the set K.
dc.identifierhttps://arxiv.org/abs/math/0702822
dc.identifierhttp://arxiv.org/abs/math/0702822
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/124746
dc.subjectGeneral Topology
dc.subjectCombinatorics
dc.subject54C30, 54F50 (Primary); 05C90, 54C25 (Secondary)
dc.titleConstructive decomposition of functions of two variables using functions of one variable
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