ON A KERVAIRE DIAGRAM FOR A HOMOTOPY PULLBACK OF GROUPOIDS

DOI10.1080/16073606.1986.9631592zbMath0603.20051OpenAlexW1968166508MaRDI QIDQ3739356

Klaus Heiner Kamps, Keith A. Hardie

Publication date: 1986

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/16073606.1986.9631592

zbMATH Keywords

fibrations of groupoidshomotopy pull-back of groupoidsinterlocking exact sequencesKervaire diagramsMayer-Vietoris type sequences

Mathematics Subject Classification ID

Homotopy groups, general; sets of homotopy classes (55Q05) Obstruction theory in algebraic topology (55S35) Nonabelian homological algebra (category-theoretic aspects) (18G50) Abstract and axiomatic homotopy theory in algebraic topology (55U35) Groupoids (i.e. small categories in which all morphisms are isomorphisms) (20L05) Operations in homotopy groups (55Q35)

Cites Work

• Groupoids and the Mayer-Vietoris sequence
• A homotopy classification of maps into an induced fibre space
• Fibrations of groupoids
• Zur omotopietheorie von Gruppoiden
• TODA BRACKETS AND THE CATEGORY OF HOMOTOPY PAIRS
• Exact sequences of conjugacy classes and rationalization