Infinitesimals via Cauchy sequences: Refining the classical equivalence

A refinement of the classic equivalence relation among Cauchy sequences yields a useful infinitesimal-enriched number system. Such an approach can be seen as formalizing Cauchy’s sentiment that a null sequence “becomes” an infinitesimal. We signal a little-noticed construction of a system with infin...

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Auteurs principaux: Bottazzi Emanuele, Katz Mikhail G.
Format: article
Langue:EN
Publié: De Gruyter 2021
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Accès en ligne:https://doaj.org/article/d13d18f012f6434e84d91c4e892b4564
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