Cohomological localizations and set-theoretical reflection

Casacuberta, Carles

Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/218296

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DC Field	Value	Language
dc.contributor.author	Casacuberta, Carles	-
dc.date.accessioned	2025-01-31T07:53:51Z	-
dc.date.issued	2023	-
dc.identifier.isbn	978-3-031-12244-6	-
dc.identifier.uri	https://hdl.handle.net/2445/218296	-
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.	ca
dc.format.extent	14 p.	-
dc.format.mimetype	application/pdf	-
dc.language.iso	eng	ca
dc.publisher	Springer	ca
dc.relation.isformatof	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.ispartof	Capítol del llibre: Casacuberta, Carles. Mathematics Going Forward, Springer, 2023, [ISBN: 978-3-031-12244-6], pp 167-181.	-
dc.relation.ispartofseries	Lecture Notes in Mathematics	ca
dc.relation.ispartofseries	2313	ca
dc.rights	(c) Carles Casacuberta, sota llicència exclusiva de Springer Nature Switzerland AG 2023	-
dc.source	Llibres / Capítols de llibre (Matemàtiques i Informàtica)	-
dc.subject.classification	Teoria de l'homotopia	-
dc.subject.classification	Topologia algebraica	-
dc.subject.other	Homotopy theory	-
dc.subject.other	Algebraic topology	-
dc.title	Cohomological localizations and set-theoretical reflection	ca
dc.type	info:eu-repo/semantics/bookPart	ca
dc.type	info:eu-repo/semantics/acceptedVersion	-
dc.identifier.doi	https://doi-org.sire.ub.edu/10.1007/978-3-031-12244-6_13	-
dc.rights.accessRights	info:eu-repo/semantics/embargoedAccess	ca
dc.embargo.lift	2099-01-01	-
dc.date.embargoEndDate	info:eu-repo/date/embargoEnd/2099-01-01	ca
Appears in Collections:	Llibres / Capítols de llibre (Matemàtiques i Informàtica)

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Document embargat fins el 1-1-2099