English

Dendroidal sets as models for connective spectra

Algebraic Topology 2014-05-20 v3 Category Theory

Abstract

Dendroidal sets have been introduced as a combinatorial model for homotopy coherent operads. We introduce the notion of fully Kan dendroidal sets and show that there is a model structure on the category of dendroidal sets with fibrant objects given by fully Kan dendroidal sets. Moreover we show that the resulting homotopy theory is equivalent to the homotopy theory of connective spectra.

Keywords

Cite

@article{arxiv.1203.6891,
  title  = {Dendroidal sets as models for connective spectra},
  author = {Matija Bašić and Thomas Nikolaus},
  journal= {arXiv preprint arXiv:1203.6891},
  year   = {2014}
}

Comments

27 pages, final version, accepted for publication in Journal of K-theory

R2 v1 2026-06-21T20:42:35.839Z