Levels of algebraicity in stable homotopy theories

DOI10.1112/jlms.12752zbMath1529.55011arXiv2110.03138OpenAlexW3204417433MaRDI QIDQ6134891

Jocelyne Ishak, Constanze Roitzheim, Jordan Williamson

Publication date: 23 August 2023

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.03138

zbMATH Keywords

triangulated categoriesmodel categorieshomotopy theorystable homotopy theory

Mathematics Subject Classification ID

Stable homotopy theory, spectra (55P42) Abstract and axiomatic homotopy theory in algebraic topology (55U35)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The cellularization principle for Quillen adjunctions
• Local framings
• Stable frames in model categories
• The derived category of complex periodic \(K\)-theory localized at an odd prime
• Monoidality of Franke's exotic model
• Duality in algebra and topology
• On the algebraic classification of \(K\)-local spectra
• Nilpotence and stable homotopy theory. I
• Derived functors of \(I\)-adic completion and local homology
• A uniqueness theorem for stable homotopy theory
• Equivalences of monoidal model categories
• Stable model categories are categories of modules
• On the algebraic classification of module spectra
• Enriched model categories and presheaf categories
• Rigidity and exotic models for the \(K\)-local stable homotopy category
• The decomposition of stable homotopy
• Spectral enrichments of model categories
• Complete modules and torsion modules
• Categorical Homotopy Theory
• HZ -algebra spectra are differential graded algebras
• Homological localizations of Eilenberg–MacLane spectra
• Localization with Respect to Certain Periodic Homology Theories
• Nilpotence and Periodicity in Stable Homotopy Theory. (AM-128)
• Algebras and Modules in Monoidal Model Categories
• Homotopy Invariant Commutative Algebra over Fields
• On exotic equivalences and a theorem of Franke
• Homotopical localizations of module spectra
• Quillen model structures for relative homological algebra
• Foundations of Stable Homotopy Theory
• STABLE LEFT AND RIGHT BOUSFIELD LOCALISATIONS
• The n -order of algebraic triangulated categories
• K-theory, reality, and duality
• Nilpotence and stable homotopy theory. II
• Spectra and symmetric spectra in general model categories

This page was built for publication: Levels of algebraicity in stable homotopy theories