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Partite construction and Ramseyan theorems for sets, numbers and spaces. (English) Zbl 0629.05048
The paper contains a survey of general results in Ramsey Theory for set systems, parameter sets, vector and affine spaces. Some generalizations of known results are given without proofs and Sparse Rado Sets Theorem (which generalized Rado Theorem (1933)) is proved using Partite Construction technique of authors.
Reviewer: Yu.M.Voloshin

MSC:
05C55 Generalized Ramsey theory
05-02 Research exposition (monographs, survey articles) pertaining to combinatorics
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