English

Associahedra and Weak Monoidal Structures on Categories

Algebraic Topology 2015-03-11 v4 Combinatorics Category Theory

Abstract

This paper answers the following question: what algebraic structure on a category corresponds to an AnA_n structure (in the sense of Stasheff) on the geometric realization of its nerve?

Cite

@article{arxiv.1005.3979,
  title  = {Associahedra and Weak Monoidal Structures on Categories},
  author = {Zbigniew Fiedorowicz and Steven Gubkin and Rainer M. Vogt},
  journal= {arXiv preprint arXiv:1005.3979},
  year   = {2015}
}

Comments

24 pages (corrected a typo in punchline of a proof, added references to Tamari lattice)

R2 v1 2026-06-21T15:26:12.292Z