nLab Keith Hardie

Keith Hardie is a South African mathematician, who has published work on homotopy theory and category theory.

• Genealogy page

Selected writings

On the Toda bracket understood via homotopy-coherent pasting diagrams in a pointed homotopy 2-category:

• Keith Hardie, Klaus Heiner Kamps, Rudger Kieboom, Higher homotopy groupoids and Toda brackets, Homology Homotopy Appl. Volume 1, Number 1 (1999), 117-134 (euclid:hha/1139840198)

• Keith Hardie, Howard Marcum, Nobuyuki Oda, Bracket operations in the homotopy theory of a 2-category, Rend. Ist. Mat. Univ. Trieste 33, 19–70 (2001) (rendiconti:33/02)

• Keith Hardie, Klaus Heiner Kamps, Howard Marcum, The Toda bracket in the homotopy category of a track bicategory, Journal of Pure and Applied Algebra Volume 175, Issues 1–3, 8 November 2002, Pages 109-133 (doi:10.1016/S0022-4049(02)00131-7)

On the fundamental 2-groupoid of Hausdorff topological spaces as a strict 2-groupoid (Grpd-enriched category):

• Keith A. Hardie, Klaus H. Kamps, Rudger Kieboom, A homotopy 2-groupoid of a Hausdorff space. Papers in honour of Bernhard Banaschewski (Cape Town, 1996). Appl. Categ. Structures 8 (2000) 209-234 [doi:10.1023/A:1008758412196]

and as a weak 2-groupoid:

• Keith A. Hardie, Klaus H. Kamps, Rudger Kieboom, A Homotopy Bigroupoid of a Topological Space, Applied Categorical Structures 9 (2001) 311-327 [doi:10.1023/A:1011270417127]

category: people