Amalgamation, interpolation and epimorphisms in algebraic logic (Q873743)

This useful, interesting, and well-written survey paper is based on [\textit{D.\ Pigozzi}, Algebra Univers. 1, 269--349 (1972; Zbl 0236.02047)]. Pigozzi's two large tables of results concerning amalgamation, congruence-extension, embedding, and interpolation properties of cylindric algebras left many open questions, all of which have been subsequently solved by the authors and others. This paper presents a survey of the answers plus many closely related results and open problems, along with descriptions and comparisons of proofs.