scientific article

zbMath0515.18007MaRDI QIDQ3661771

Thomas Müller

Publication date: 1983

Full work available at URL: http://www.numdam.org/item?id=CTGDC_1983__24_2_193_0

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zbMATH Keywords

Abelian categorieschain complexeshomotopy pullbackhomotopy pushoutcube theoremsdual cube theoremsenriched over category of groupoidsKan-conditions

Mathematics Subject Classification ID

Abelian categories, Grothendieck categories (18E10) Simplicial sets and complexes in algebraic topology (55U10) Abstract and axiomatic homotopy theory in algebraic topology (55U35) Epimorphisms, monomorphisms, special classes of morphisms, null morphisms (18A20) Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.) (18A30) Chain complexes in algebraic topology (55U15) Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40) Duality in applied homological algebra and category theory (aspects of algebraic topology) (55U30)

Cites Work

• Commuting homotopy limits and colimits
• Fundamentalgruppoid und Homotopien
• Abelsche und exakte Kategorien, Korrespondenzen
• Kan-Bedingungen und abstrakte Homotopietheorie. (Kan conditions and abstract homotopy theory)
• Note on normal sequences of chain complexes
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