Skeleta and categories of algebras

DOI10.1016/J.AIM.2024.109944MaRDI QIDQ6633113

Tyler Lawson, Jonathan Beardsley

Publication date: 5 November 2024

Published in: Advances in Mathematics (Search for Journal in Brave)

zbMATH Keywords

chromatic homotopy theorycellular approximationconnectivity structureconnected map

Mathematics Subject Classification ID

Stable homotopy theory, spectra (55P42) Applied homological algebra and category theory in algebraic topology (55Uxx) Category theory; homological algebra (18-XX)

Cites Work

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• Higher homotopy excision and Blakers-Massey theorems for structured ring spectra
• Relative Thom spectra via operadic Kan extensions
• A cellular construction of BP and other irreducible spectra
• Ring spectra which are Thom complexes
• Calculus. II: Analytic functors
• Homology and cohomology of \(E_\infty\) ring spectra
• Stable model categories are categories of modules
• André-Quillen cohomology of commutative \(S\)-algebras
• BP: close encounters of the \(E_\infty\) kind
• A theorem on multiplicative cell attachments with an application to Ravenel's \(X(n)\) spectra
• Homology of \(E_n\) ring spectra and iterated THH
• The triple loop space approach to the telescope conjecture
• Topological Hochschild homology of <i>ℓ</i> and <i>ko</i>
• The tangent complex and Hochschild cohomology of -rings
• A generalized Blakers–Massey theorem
• The multiplication on BP
• Higher Topos Theory (AM-170)
• A simple universal property of Thom ring spectra
• Cores of spaces, spectra, and \(E_\infty\) ring spectra

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