Stabilization of the category of simplicial objects in CAT

Ilias Amrani

Stabilization of the category of simplicial objects in CAT

Algebraic Topology 2012-06-28 v1 Category Theory K-Theory and Homology

Authors: Ilias Amrani

Abstract

In this article, we define two equivalent new model structures on $\mathbf{sCat}$ the category of simplicial objects in $\mathbf{Cat}$ . Then we construct the corresponding stable model category of spectra $Sp(\mathbf{sCat})$ and make some links with the algebraic $K$ -theory via the mapping space.

Keywords

model structures simplicial objects stable model category spectra algebraic K-theory

Cite

@article{arxiv.1206.6308,
  title  = {Stabilization of the category of simplicial objects in CAT},
  author = {Ilias Amrani},
  journal= {arXiv preprint arXiv:1206.6308},
  year   = {2012}
}

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