Partition complexes and trees
Publication date
2023-06-01
Authors
Heuts, Gijs
Moerdijk, Ieke
Editors
Advisors
Supervisors
Document Type
Article
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taverne
Abstract
We construct a functor from the partition complex of a finite set A to a category of trees with leaves labelled by A and prove that it is homotopy initial. This construction and our proof are elementary and require very few preliminaries, but imply an equivalence between different bar constructions of an operad in great generality.
Keywords
Taverne, General Mathematics, Applied Mathematics
Citation
Heuts, G & Moerdijk, I 2023, 'Partition complexes and trees', Proceedings of the American Mathematical Society, vol. 151, no. 6, pp. 2723-2732. https://doi.org/10.1090/proc/16300