We fully characterise the solvability of Rado equations inside linear combinations a(1)U + . . . + a(n)U of idempotent ultrafilters U is an element of beta Z by exploiting known relations between such combinations and strings of integers. This generalises a partial characterisation obtained previously by Mauro Di Nasso.
Rado equations solved by linear combinations of idempotent ultrafilters / L. Luperi Baglini, P.H. Arruda. - In: TOPOLOGY AND ITS APPLICATIONS. - ISSN 0166-8641. - 305(2022 Jan 01), pp. 107897.1-107897.15. [10.1016/j.topol.2021.107897]
Rado equations solved by linear combinations of idempotent ultrafilters
L. Luperi BagliniPrimo
;
2022
Abstract
We fully characterise the solvability of Rado equations inside linear combinations a(1)U + . . . + a(n)U of idempotent ultrafilters U is an element of beta Z by exploiting known relations between such combinations and strings of integers. This generalises a partial characterisation obtained previously by Mauro Di Nasso.
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