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arxiv: 0909.2212 · v4 · submitted 2009-09-11 · 🧮 math.CT · math.AT

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

classification 🧮 math.CT math.AT
keywords mooreconnectionscubicalhyperrectanglesomega-categorystrictansweredbrown
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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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