Large cardinals and their effect on the continuum function on regular cardinals
Large cardinals and their effect on the continuum function on regular cardinals
Author(s): Radek HonzíkSubject(s): History, Philosophy
Published by: Univerzita Karlova v Praze, Nakladatelství Karolinum
Keywords: continuum function; large cardinals
Summary/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.
Journal: Acta Universitatis Carolinae Philosophica et Historica
- Issue Year: XXI/2015
- Issue No: 1
- Page Range: 55-72
- Page Count: 18
- Language: English