Lax Diagrams and Enrichment
Category Theory
2012-06-19 v1 Algebraic Topology
Abstract
We introduce a new type of weakly enriched categories over a given symmetric monoidal model category M; these are called Co-Segal categories. Their definition derives from the philosophy of classical (enriched) Segal categories. We study their homotopy theory by giving a model structure on them. One of the motivations of introducing these structure was to have an alternative definition of higher linear categories following Segal-like methods.
Cite
@article{arxiv.1206.3704,
title = {Lax Diagrams and Enrichment},
author = {Hugo V. Bacard},
journal= {arXiv preprint arXiv:1206.3704},
year = {2012}
}
Comments
131 pages; comments are welcome