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Leibnizian, Robinsonian, and Boolean valued monads

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Abstract

This is an overview of the present-day versions of monadology with some applications to vector lattices and linear inequalities. Two approaches to combining nonstandard set-theoretic models are sketched and illustrated by order convergence, principal projection, and polyhedrality.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090, Russia

    S. S. Kutateladze

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  1. S. S. Kutateladze
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Correspondence to S. S. Kutateladze.

Additional information

The text was submitted by the author in English.

This article bases on a talk at the 20th St. Petersburg Summer Meeting in Mathematical Analysis, June 24–29, 2011.

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Kutateladze, S.S. Leibnizian, Robinsonian, and Boolean valued monads. J. Appl. Ind. Math. 5, 365–373 (2011). https://doi.org/10.1134/S1990478911030082

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