Order-preserving chain maps between simplexes

Richard Steiner (University of Glasgow)

Monday 10th May, 2010 16:00-17:00 Mathematics Building, room 204


A chain map between the chain complexes of simplexes is order-preserving if it takes sums of standard basis elements to sums of standard basis elements. This talk concerns the class of order-preserving chain maps which are also augmentation-preserving. The simple external algebraic description leads to a surprisingly intricate internal algebraic description. The class can also be described combinatorially, and it has applications in higher category theory.

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