Continuous solutions to algebraic forcing equations

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dc.creatorBrenner, Holger
dc.date2006-08-24
dc.date2006-08-27
dc.date.accessioned2026-07-07T07:22:08Z
dc.date.available2026-07-07T07:22:08Z
dc.descriptionWe ask for a given system of polynomials f_1,...,f_n and f over the complex numbers when there exist continuous functions q_1,...,q_n such that q_1 f_1+...+q_n f_n = f. This condition defines the continuous closure of an ideal. We give inclusion criteria and exclusion results for this closure in terms of the algebraically defined axes closure. Conjecturally, continuous and axes closure are the same, and we prove this in the monomial case.
dc.descriptionare welcome; one change in references
dc.identifierhttps://arxiv.org/abs/math/0608611
dc.identifierhttp://arxiv.org/abs/math/0608611
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115549
dc.subjectCommutative Algebra
dc.subjectGeneral Topology
dc.subject13A15; 54C05;12D10; 13B22; 26C10
dc.titleContinuous solutions to algebraic forcing equations
dc.typetext

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