A classification of small homotopy functors from spectra to spectra

DOI10.4064/FM952-12-2015zbMath1368.55007arXiv1303.7108OpenAlexW2962810147MaRDI QIDQ3178225

Boris Chorny

Publication date: 8 July 2016

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.7108

zbMATH Keywords

spectralmodel categoriessmallpro-spectrahomotopy functors

Mathematics Subject Classification ID

Stable homotopy theory, spectra (55P42) Homotopy functors in algebraic topology (55P65)

Related Items (2)

Duality and small functors ⋮ Homotopy theory of relative simplicial presheaves

Cites Work

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• A classification of Taylor towers of functors of spaces and spectra
• Representability theorems for presheaves of spectra
• Duality and small functors
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• Higher homotopies of natural constructions
• Brown representability for space-valued functors
• Localization with respect to a class of maps. I: Equivariant localization of diagrams of spaces
• Localization with respect to a class of maps. II: Equivariant cellularization and its application
• A generalization of Quillen's small object argument
• Calculus of functors and model categories
• A chain rule for Goodwillie derivatives of functors from spectra to spectra
• Symmetric spectra
• Combinatorial model categories have presentations

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