Moore hyperrectangles on a space form a strict cubical omega-category

Mathematics – Category Theory

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version 2: 7 pages. Added; introduction; full details of the laws satisfied and not satisfied; a brief account of tensor produ

Scientific paper

A question of Jack Morava is answered by generalising the notion of Moore
paths to that of Moore hyperrectangles, so obtaining a strict cubical
omega-category. This also has the structure of connections in the sense of
Brown and Higgins, but cancellation of connections does not hold.

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