AUC Philosophica et Historica (Acta Universitatis Carolinae Philosophica et Historica) is a multidisciplinary academic journal focused on the humanities with more than 50 years of tradition.
The journal is indexed in CEEOL, DOAJ, and 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
published online: 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.
keywords: continuum function; large cardinals
periodicity: 2 x per year
ISSN: 0567-8293
E-ISSN: 2464-7055
