A Short Introduction to the Telescope and Chromatic Splitting Conjectures
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Publication:5126360
DOI10.1007/978-981-15-1588-0_9zbMath1459.55005arXiv1902.05046OpenAlexW3024918815MaRDI QIDQ5126360
Publication date: 16 October 2020
Published in: Bousfield Classes and Ohkawa's Theorem (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1902.05046
Stable homotopy theory, spectra (55P42) Research exposition (monographs, survey articles) pertaining to algebraic topology (55-02)
Related Items (2)
Ambidexterity in chromatic homotopy theory ⋮ From Ohkawa to Strong Generation via Approximable Triangulated Categories—A Variation on the Theme of Amnon Neeman’s Nagoya Lecture Series
Cites Work
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- Stratifying modular representations of finite groups.
- The localization of spectra with respect to homology
- The generating hypothesis for the stable module category of a \(p\)-group.
- The injective hull of homotopy types with respect to generalized homology functors
- Towards the finiteness of \(\pi _*L_{K(n)}S^0\)
- Complexes of injective \(kG\)-modules.
- Nilpotence and stable homotopy theory. I
- On relations between Adams spectral sequences, with an application to the stable homotopy of a Moore space
- bo-resolutions
- A remark on the generalized smashing conjecture
- The algebraic chromatic splitting conjecture for Noetherian ring spectra
- \(\nu_n\) telescopes and the Adams spectral sequence
- Smashing subcategories and the telescope conjecture -- an algebraic approach
- Chromatic homotopy theory is asymptotically algebraic
- The rational homotopy of the \(K(2)\)-local sphere and the chromatic splitting conjecture for the prime 3 and level 2
- Auslander-Reiten sequences, Brown-Comenetz duality, and the \(K(n)\)-local generating hypothesis
- A resolution of the \(K(2)\)-local sphere at the prime 3
- Chromatic completion
- ON FREYD'S GENERATING HYPOTHESIS
- Localization with Respect to Certain Periodic Homology Theories
- Nilpotence and Periodicity in Stable Homotopy Theory. (AM-128)
- Morava 𝐾-theories and localisation
- The rigid analytic period mapping, Lubin-Tate space, and stable homotopy theory
- A counterexample to a 𝐵𝑃-analogue of the chromatic splitting conjecture
- On the chromatic tower
- K-Theory and the Generating Hypothesis
- Freyd’s generating hypothesis with almost split sequences
- Nilpotence and stable homotopy theory. II
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