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Macquarie University  Department of Mathematics

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Workshop on Categorical Methods in Algebra, Geometry and Mathematical Physics

Satellite to the StreetFest conference in honour of Ross Street's sixtieth birthday

July 18-21 2005, Australian National University, Canberra

Thu, 21 July:  15:50 - 16:30

Orientals
Steiner, Richard (University of Glasgow)

The oriented simplexes or orientals are a family of $\omega$-categories associated to simplexes. They were constructed by Ross Street, who expressed the view that they were fundamental structures of nature. I will support this view by showing that the category of orientals arises in other
contexts: the morphisms can be regarded as particular kinds of chain maps between the chain complexes of simplexes, or as cellular homotopy classes of particular kinds of maps between topological simplexes. I also hope to describe the internal structure of the category.

Typeset PDF of this abstract.