dc.contributor.author
Casacuberta, Carles
dc.date.issued
2025-01-31T07:53:51Z
dc.date.issued
info:eu-repo/date/embargoEnd/2099-01-01
dc.identifier
978-3-031-12244-6
dc.identifier
https://hdl.handle.net/2445/218296
dc.identifier
https://doi-org.sire.ub.edu/10.1007/978-3-031-12244-6_13
dc.description.abstract
Homological localizations of spaces and spectra have been a fundamental tool in algebraic topology since the decade of 1970, especially in the setting of chromatic homotopy. However, it is unknown whether the existence of cohomological localizations can be proved in ZFC or not. Although this is apparently a homotopy-theoretical problem, it turned out to be closely related with set-theoretical reflection principles and therefore with the existence of large cardinals. In this note we present the state of the art with enough background so that proofs of results are readable by both topologists and set theorists.
dc.format
application/pdf
dc.format
application/pdf
dc.relation
Versió postprint del capítol Cohomological localizations and set-theoretical
reflection del llibre publicat a: https://doi.org/10.1007/978-3-031-12244-6_13
dc.relation
Capítol del llibre: Casacuberta, Carles. Mathematics Going Forward, Springer, 2023, [ISBN: 978-3-031-12244-6], pp 167-181.
dc.relation
Lecture Notes in Mathematics
dc.rights
(c) Carles Casacuberta, sota llicència exclusiva de Springer Nature Switzerland AG 2023
dc.rights
info:eu-repo/semantics/embargoedAccess
dc.source
Llibres / Capítols de llibre (Matemàtiques i Informàtica)
dc.subject
Teoria de l'homotopia
dc.subject
Topologia algebraica
dc.subject
Homotopy theory
dc.subject
Algebraic topology
dc.title
Cohomological localizations and set-theoretical reflection
dc.type
info:eu-repo/semantics/bookPart
dc.type
info:eu-repo/semantics/acceptedVersion
