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Functors between shape categories

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Publication:1839025
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DOI10.1016/0022-4049(83)90025-7zbMath0511.18013OpenAlexW1965470711MaRDI QIDQ1839025

Jean-Marc Cordier, Timothy Porter

Publication date: 1983

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(83)90025-7


zbMATH Keywords

shape theoryexact squaresKan extensionsshape categories


Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Closed categories (closed monoidal and Cartesian closed categories, etc.) (18D15) Shape theory (55P55) Enriched categories (over closed or monoidal categories) (18D20) Eilenberg-Moore and Kleisli constructions for monads (18C20)


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Cites Work

  • Shape invariant functors: Application in module-theory
  • Borsuk shape and a generalization of Grothendieck's definition of pro-category
  • On the categorical shape of a functor
  • On completion and shape
  • On Kan extensions of cohomology theories and Serre classes of groups
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