Corpus ID: 17781743

MODELING STABLE ONE-TYPES

@article{Johnson2012MODELINGSO,
  title={MODELING STABLE ONE-TYPES},
  author={Niles Johnson and Ang'elica M. Osorno},
  journal={arXiv: Algebraic Topology},
  year={2012}
}
  • Niles Johnson, Ang'elica M. Osorno
  • Published 2012
  • Mathematics
  • arXiv: Algebraic Topology
  • Classication of homotopy n-types has focused on developing algebraic categories which are equivalent to categories of n-types. We expand this theory by providing algebraic models of homotopy-theoretic constructions for stable one-types. These include a model for the Postnikov one-truncation of the sphere spectrum, and for its action on the model of a stable one-type. We show that a bicategorical cokernel introduced by Vitale models the cober of a map between stable one-types, and apply this to… CONTINUE READING