The Tragedy of Mathematics in Russia
This is a brief overview of the role of mathematicians in the so-called "Luzin Case" as well as some analysis of the mathematical and humanitarian roots of the affair.
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arXiv subjects
S. Kutateladze
Publications and source records attributed to S. Kutateladze.
Linear Programming and Kantorovich Spaces
This is a brief overview of the life of Leonid Kantorovich (1912--1986) and his contribution to the fields of linear programming and ordered vector spaces.
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Convexity and Cone-Vexing
The idea of convexity feeds generation, separation, calculus, and approximation. Generation appears as duality; separation, as optimality; calculus, as representation; and approximation, as stability. This is an overview of the origin, evolution, and trends of convexity. Study of convexity in the Sobolev Institute was initiated by Leonid Kantorovich (1912--1986) and Alexandr Alexandrov (1912--1999). This talk is a part of their memory.
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Upper Semilattices of Finite-Dimensional Gauges
This is a brief overview of some applications of the ideas of abstract convexity to the upper semilattices of gauges in finite dimensions.
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Excursus into the History of Calculus
This is a brief overview of some turning points in the history of infinitesimals.
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On Differences of Riesz Homomorphisms
An order bounded functional on a Riesz space is a difference of Riesz homomorphisms if and only if the kernel of this functional is a Riesz subspace of the ambient Riesz space.
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