On the Representability of Homotopy Functors

DOI10.1112/jlms/s2-23.3.551zbMath0477.55013OpenAlexW2019424564MaRDI QIDQ3935144

Alex Heller

Publication date: 1981

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/s2-23.3.551

zbMATH Keywords

category with products and weak pull-backscontravariant functors on the homotopy category of unpointed CW-complexesrepresentability of covariant homotopy functorsretract of a representable functorWhitehead theorems on homotopy equivalences

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Homotopy equivalences in algebraic topology (55P10) Categories admitting limits (complete categories), functors preserving limits, completions (18A35) Homotopy functors in algebraic topology (55P65)

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