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Presentations of omega-categories by directed complexes

  • Sjoerd E. Crans (a1) and Richard Steiner (a2)

Abstract

The theory of directed complexes is extended from free ω-categories by defining presentations in which the generators are atoms and the relations are equations between molecules. Our main result relates these presentations to the more standard algebraic presentations; we also show that every ω-category has a presentation by directed complexes. The approach is similar to that used by Crans for pasting presentations.

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Copyright

COPYRIGHT: © Australian Mathematical Society 1997

References

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[1]Al-Agl, F. A. and Steiner, R., ‘Nerves of multiple categories’, Proc. London Math. Soc. (3) 66 (1993), 92–128.
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Presentations of omega-categories by directed complexes

  • Sjoerd E. Crans (a1) and Richard Steiner (a2)

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