Coherent functors in stable homotopy theory

• Autorzy: Henning Krause
• Języki publikacji: EN

Abstrakty

EN

Coherent functors 𝓢 → Ab from a compactly generated triangulated category into the category of abelian groups are studied. This is inspired by Auslander's classical analysis of coherent functors from a fixed abelian category into abelian groups. We characterize coherent functors and their filtered colimits in various ways. In addition, we investigate certain subcategories of 𝓢 which arise from families of coherent functors.

Kategorie tematyczne

• 18E30: Derived categories, triangulated categories
• 55U35: Abstract and axiomatic homotopy theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2002
• Tom: 173
• Numer: 1
• Strony: 33-56

Daty

wydano

2002

Twórcy

autor

Henning Krause

• Fakultät für Mathematik, Universität Bielefeld, 33501 Bielefeld, Germany

Identyfikatory

DOI

10.4064/fm173-1-3