analytic set


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analytic set

[‚an·ə¦lid·ik ′set]
(mathematics)
A subset of a separable, complete metric space that is a continuous image of a Borel set in this metric space.
References in periodicals archive ?
Contract notice: Provision Of Analytic Set Consisting Of At Least A Pyrolyzer With Sample Autosampler Coupled With A Quadrupole Mass Spectrometer Using A Gas Chromatograph
As a consequence, since any uncountable Borel (or even analytic) set contains a perfect set, the intersection of a Bernstein set with any uncountable analytic set has cardinality c.
He provides all the necessary prerequisites for graduate students and practitioners, describing Riemann surfaces (including coverings, analytical continuation, and Puiseaux expansion), holomorphic functions of several variables (including analytic sets and analytic set germs as well as regular and singular points of analytic sets), isolated singularities of holomorphic functions (including isolated critical points and the universal unfolding), fundamentals of differential topology (including singular homology groups and linking numbers), and the topology of singularities (including the Picard-Lefschetz theorem, the Milnor fibration, the Coxeter-Dynkin diagram, the Selfert form and the action of the braid group.
Set-theoretic separation: Every semialgebraic subset of [Mathematical Expression Omitted] which is a global analytic set is also a global Nash set.
Our first purpose in this paper is to prove a local holomorphic extension of proper holomorphic mappings under the assumption that the graph of the mapping extends as an analytic set (see Definition 1).
perpendicular]] is supported by an analytic set of codimension at least 2 in [Omega].
Acquisition of analytic set and its associated services (warranty, training, maintenance).
this contract is for the supply, delivery, commissioning, user training, provision of maintenance (preventive and corrective) to the laboratory of the Centre Hospitalier de Beauvais an analytic set for the completion of the activity 24h/24h immuno-hematology laboratory (groupage, rai, tda), and its associated consumables and reagents
However it is expected that the regularizing effect happens outside analytic sets.
In addition to continual investment in our suite of pricing products, MPSI's Technology Group has produced four new retail analytic sets.
Contract award: acquisition, commissioning and maintenance of analytic sets in favor of the institute of criminal research of the national gendarmerie
Contract notice: Acquisition of equipment and analytic sets in favor of the institute of criminal research of the national gendarmerie.