Homotopy in functor categories
Homotopy in functor categories
If ${\mathbf {C}}$ is a small category enriched over topological spaces the category ${\mathcal {J}^{\mathbf {C}}}$ of continuous functors from ${\mathbf {C}}$ into topological spaces admits a family of homotopy theories associated with closed subcategories of ${\mathbf {C}}$. The categories ${\mathcal {J}^{\mathbf {C}}}$, for various ${\mathbf {C}}$, are connected to …