A simplicial approach to multiplier bimonoids

作者:Bohm Gabriella*; Lack Stephen
来源:Bulletin of the Belgian Mathematical Society Simon Stevin, 2017, 24(1): 107-122.
DOI:10.36045/bbms/1489888816

摘要

Although multiplier bimonoids in general are not known to correspond to comonoids in any monoidal category, we classify them in terms of maps from the Catalan simplicial set to another suitable simplicial set; thus they can be regarded as (co)monoids in something more general than a monoidal category (namely, the simplicial set itself). We analyze the particular simplicial maps corresponding to that class of multiplier bimonoids which can be regarded as comonoids.

  • 出版日期2017