Enrichment and representability for triangulated categories

DOI10.25537/dm.2017v22.1031-1062zbMath1406.16003arXiv1604.00880MaRDI QIDQ1677378

Greg Stevenson, Johan Steen

Publication date: 21 November 2017

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.00880

zbMATH Keywords

representabilityenriched categorymonoidtensor triangulated category

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Abstract and axiomatic homotopy theory in algebraic topology (55U35)

Cites Work

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• Separability and triangulated categories
• The localization of spectra with respect to homology
• On lifting stable diagrams in Frobenius categories
• Nilpotence and stable homotopy theory. I
• The chromatic tower for \(D(R)\). With an appendix by Marcel Bökstedt
• Enrichment through variation
• Brown representability for space-valued functors
• Splitting tower and degree of tt-rings
• Support theory via actions of tensor triangulated categories
• The Grothendieck duality theorem via Bousfield’s techniques and Brown representability
• Brown representability and the Eilenberg-Watts theorem in homotopical algebra
• The spectrum of prime ideals in tensor triangulated categories

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