THE EXISTENCE OF CERTAIN (CO-)LIMITS IN THE CATEGORY OF CHAIN FUNCTORS

DOI10.1142/S0219498806001788zbMath1116.55003OpenAlexW2016122451MaRDI QIDQ5493874

Friedrich Wilhelm Bauer, Tamar Datuashvili

Publication date: 16 October 2006

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498806001788

zbMATH Keywords

fibrationskernelspullbackscokernelspushoutscofibrationschain functors

Mathematics Subject Classification ID

Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) Abstract and axiomatic homotopy theory in algebraic topology (55U35) Chain complexes (category-theoretic aspects), dg categories (18G35) Chain complexes in algebraic topology (55U15) Topological categories, foundations of homotopy theory (55U40)

Related Items (2)

Categories with homotopy determine a closed model structure ⋮ Categorical, homological, and homotopical properties of algebraic objects

Cites Work

• Closed model category structures on the category of chain functors
• Stable model categories are categories of modules
• Homotopical algebra
• Tensor products of spectra and localizations

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