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math.FA2007
Convexity and Cone-Vexing
S. Kutateladze
The idea of convexity feeds generation, separation, calculus, and approximation. Generation appears as duality; separation, as optimality; calculus, as representation; and approxim…
math.FA2007
Abstract Convexity and Cone-Vexing Abstractions
S. S. Kutateladze
This talk is a write-up on some origins of abstract convexity and afew vexing limitations on the range of abstraction in convexity.
math.FA2006
Boolean Methods in the Theory of Vector Lattices
A. G. Kusraev, S. S. Kutateladze
This is an overview of the recent results of interaction of Boolean valued analysis and vector lattice theory.