# name
Cardinal continuity for cohomology theories follows from supercompact cardinals

# metadata.dc.description[].value
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2025, Director: Carles Casacuberta Vergés

# metadata.dc.description.abstract[].value
We prove that, if sufficiently large supercompact cardinals exist, then Margolis’s cardinal continuity condition holds for cohomological functors on spectra. This provides a new proof of the fact that localizations of spectra with respect to generalized cohomology theories exist, assuming the existence of a proper class of supercompact cardinals. Whether or not the existence of cohomological localizations of spectra can be proved in ZFC is a long-standing open question.

# metadata.dc.rights[].value
cc-by-nc-nd (c) Aran Garreta Cutrina, 2025

# metadata.dc.source[].value
Treballs Finals de Grau (TFG) - Matemàtiques

# metadata.dc.title[].value
Cardinal continuity for cohomology theories follows from supercompact cardinals