2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/129247This talk is a write-up on some origins of abstract convexity and afew vexing limitations on the range of abstraction in convexity.A talk for the workshop "Idempotent and Tropical Mathematics and Problems of Mathematical Physics," Moscow, August 25-30, 2007Functional AnalysisOptimization and Control46A22, 50A01text