English

The right cancellation property for certain classes of dendroidal anodynes

Category Theory 2024-07-30 v1 Algebraic Topology

Abstract

We generalize a previous result of Stevenson to the category of dendroidal sets, yielding the right cancellation property of dendroidal inner anodynes within the class of normal monomorphisms. As an application of this property, we show how to construct a symmetric monoidal \infty-category Env(X)\mathsf{Env}(X)^\otimes from a dendroidal \infty-operad XX, in a way that generalizes the symmetric monoidal envelope of a coloured operad.

Keywords

Cite

@article{arxiv.2407.18959,
  title  = {The right cancellation property for certain classes of dendroidal anodynes},
  author = {Miguel Barata},
  journal= {arXiv preprint arXiv:2407.18959},
  year   = {2024}
}

Comments

Any comments are welcome. 16 pages