The left localization principle, completions, and cofree \(G\)-spectra
From MaRDI portal
Publication:2184793
DOI10.1016/j.jpaa.2020.106408zbMath1446.55009arXiv1910.01410OpenAlexW2978753154MaRDI QIDQ2184793
Publication date: 29 May 2020
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.01410
Bousfield localizationalgebraic modelsrational equivariant spectraequivariant spectracellularization
Localization and completion in homotopy theory (55P60) Stable homotopy theory, spectra (55P42) Equivariant homotopy theory in algebraic topology (55P91) Completion of commutative rings (13B35)
Related Items (6)
Algebraic models of change of groups functors in (co)free rational equivariant spectra ⋮ Separated and complete adelic models for one-dimensional Noetherian tensor-triangulated categories ⋮ Corrigendum to: ``The left localization principle, completions, and cofree \(G\)-spectra ⋮ The homotopy theory of complete modules ⋮ RATIONAL LOCAL SYSTEMS AND CONNECTED FINITE LOOP SPACES ⋮ UNITARY FUNCTOR CALCULUS WITH REALITY
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nilpotence and descent in equivariant stable homotopy theory
- The cellularization principle for Quillen adjunctions
- Rational \(\mathrm{SO}(2)\)-equivariant spectra
- On left and right model categories and left and right Bousfield localizations
- An algebraic model for free rational \(G\)-spectra for connected compact Lie groups \(G\)
- Classifying rational \(G\)-spectra for finite \(G\)
- Derived functors of \(I\)-adic completion and local homology
- Localization and completion theorems for \(MU\)-module spectra
- Local duality in algebra and topology
- Rational \(O(2)\)-equivariant spectra
- An algebraic model for rational \(G\)-spectra over an exceptional subgroup
- Equivalences of monoidal model categories
- Stable model categories are categories of modules
- On the homology of completion and torsion
- Flatness and Shipley's algebraicization theorem
- Derived completion for comodules
- Borel cohomology and the relative Gorenstein condition for classifying spaces of compact Lie groups
- Six model structures for DG-modules over DGAs: model category theory in homological action.
- An algebraic model for rational \(\operatorname{SO}(3)\)-spectra
- Fixed point adjunctions for equivariant module spectra
- On the telescopic homotopy theory of spaces
- Replacing model categories with simplicial ones
- Model Categories of Diagram Spectra
- Complete modules and torsion modules
- An Algebraic Model for Rational S1-Equivariant Stable Homotopy Theory
- Equivariant orthogonal spectra and 𝑆-modules
- HZ -algebra spectra are differential graded algebras
- Morava 𝐾-theories and localisation
- Proregular sequences, local cohomology, and completion
- Algebras and Modules in Monoidal Model Categories
- Global Homotopy Theory
- An algebraic model for rational torus‐equivariant spectra
- Homotopical algebraic geometry. II. Geometric stacks and applications
- STABLE LEFT AND RIGHT BOUSFIELD LOCALISATIONS
- An algebraic model for free rational G -spectra
- Spectra and symmetric spectra in general model categories
This page was built for publication: The left localization principle, completions, and cofree \(G\)-spectra
