Geodesic
The Gordon theorem: origins and meaning
Vladikavkazskij matematičeskij žurnal, Tome 21 (2019) no. 4, pp. 63-70

Voir la notice de l'article provenant de la source Math-Net.Ru

Boolean valued analysis, the term coined by Takeuti, signifies a branch of functional analysis which uses a special technique of Boolean valued models of set theory. The fundamental result of Boolean valued analysis is Gordon’s Theorem stating that each internal field of reals of a Boolean valued model descends into a universally complete vector lattice. Thus, a remarkable opportunity opens up to expand and enrich the mathematical knowledge by translating information about the reals to the language of other branches of functional analysis. This is a brief overview of the mathematical events around the Gordon Theorem. The relationship between the Kantorovich's heuristic principle and Boolean valued transfer principle is also discussed. 
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A. G. Kusraev; S. S. Kutateladze. The Gordon theorem: origins and meaning. Vladikavkazskij matematičeskij žurnal, Tome 21 (2019) no. 4, pp. 63-70. http://geodesic.mathdoc.fr/item/VMJ_2019_21_4_a5/