scientific article

zbMath0493.55009MaRDI QIDQ3956094

Jean-Marc Cordier

Publication date: 1982

Full work available at URL: http://www.numdam.org/item?id=CTGDC_1982__23_1_93_0

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zbMATH Keywords

simplicial categoryhomotopy coherent diagramssimplicial categorical form of strong shape theorysimplicially enriched functors

Mathematics Subject Classification ID

Abstract and axiomatic homotopy theory in algebraic topology (55U35) Categories admitting limits (complete categories), functors preserving limits, completions (18A35) Shape theory (55P55) Enriched categories (over closed or monoidal categories) (18D20)

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Cites Work

• Closed categories, lax limits and homotopy limits
• Simplicial localizations of categories
• Cech and Steenrod homotopy theories with applications to geometric topology
• Homotopy limits and colimits
• Categories and cohomology theories
• Homotopy limits, completions and localizations
• The Homotopy Commutative Cube
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