Recent results of Hindman, Leader and Strauss and of Fernández-Bretón and Rinot showed that natural versions of Hindman’s Theorem fail for all uncontable cardinals. On the other hand, Komjáth proved a result in the positive direction, showing that there are arbitrarily large abelian groups satisfying some Hindman-type property. In this note we show how a family of natural Hindman-type theorems for uncountable cardinals can be obtained by adapting some recent results of the author from their original countable setting.
A note on Hindman-Type Theorems for uncountable cardinals / Carlucci, Lorenzo. - In: ORDER. - ISSN 0167-8094. - STAMPA. - 36:1(2019), pp. 19-22. [10.1007/s11083-018-9452-9]
A note on Hindman-Type Theorems for uncountable cardinals
Lorenzo Carlucci
2019
Abstract
Recent results of Hindman, Leader and Strauss and of Fernández-Bretón and Rinot showed that natural versions of Hindman’s Theorem fail for all uncontable cardinals. On the other hand, Komjáth proved a result in the positive direction, showing that there are arbitrarily large abelian groups satisfying some Hindman-type property. In this note we show how a family of natural Hindman-type theorems for uncountable cardinals can be obtained by adapting some recent results of the author from their original countable setting.| File | Dimensione | Formato | |
|---|---|---|---|
|
Carlucci_Hindman-Type-Theorems_2019.pdf
solo gestori archivio
Tipologia:
Versione editoriale (versione pubblicata con il layout dell'editore)
Licenza:
Tutti i diritti riservati (All rights reserved)
Dimensione
354.9 kB
Formato
Adobe PDF
|
354.9 kB | Adobe PDF | Contatta l'autore |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
