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math.LO2021★ 1 cited
Infinitesimals via Cauchy sequences: Refining the classical equivalence
Emanuele Bottazzi, Mikhail G. Katz
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 s…
math.FA2021
Describing limits of integrable functions as grid functions of nonstandard analysis
Emanuele Bottazzi
In functional analysis, there are different notions of limit for a bounded sequence of functions. Besides the pointwise limit, that does not always exist, the behaviour of a…