AUC Philosophica et Historica je víceoborový akademický časopis zaměřený na humanitní a společenskovědné obory (filozofie, psychologie, pedagogika, sociologie, obecné, české a hospodářské dějiny, pomocné vědy historické a archivnictví, etnologie).
Časopis je indexován v databázích CEEOL, DOAJ a EBSCO.
AUC PHILOSOPHICA ET HISTORICA, Vol 2015 No 1 (2015), 55–72
Large cardinals and their effect on the continuum function on regular cardinals
Radek Honzík
DOI: https://doi.org/10.14712/24647055.2016.9
zveřejněno: 08. 08. 2016
Abstract
In this survey paper, we will summarise some of the more and less known results on the generalisation of the Easton theorem in the context of large cardinals. In particular, we will consider inaccessible, Mahlo, weakly compact, Ramsey, measurable, strong, Woodin, and supercompact cardinals. The paper concludes with a result from the opposite end of the spectrum: namely, how to kill all large cardinals in the universe.
klíčová slova: continuum function; large cardinals
