Cohomological Localizations and Set-Theoretical Reflection

DOI10.1007/978-3-031-12244-6_13OpenAlexW4376624860MaRDI QIDQ6061115

Carles Casacuberta

Publication date: 3 December 2023

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-031-12244-6_13

zbMATH Keywords

supercompact cardinalVopěnka's principlecohomological localizationLévy hierarchyhomological loclization

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Localization and completion in homotopy theory (55P60) Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) Large cardinals (03E55)

Cites Work

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• The localization of spectra with respect to homology
• The injective hull of homotopy types with respect to generalized homology functors
• BP operations and Morava's extraordinary K-theories
• The localization of spaces with respect to homology
• Genetics of homotopy theory and the Adams conjecture
• Infinitesimal computations in topology
• Existence of the Adams completion for CW-complexes
• Homotopical localizations at a space
• Cohomological Bousfield classes
• Definable orthogonality classes in accessible categories are small
• Derived categories of absolutely flat rings
• Homotopical algebra
• A spectrum whose \(Z_ p\) cohomology is the algebra of reduced \(p\)-th powers
• Rational homotopy theory
• Localization of CW-complexes and its applications
• Homotopy limits, completions and localizations
• Implications of large-cardinal principles in homotopical localization
• Groupes d'homotopie et classes de groupes abéliens
• Localization with Respect to Certain Periodic Homology Theories
• Set Theory
• Abstract Homotopy Theory
• A hierarchy of formulas in set theory
• THE SPHERE, CONSIDERED AS AN H-SPACE MOD_p
• Axiomatic Approach to Homology Theory
• LARGE CARDINALS AS PRINCIPLES OF STRUCTURAL REFLECTION

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