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math.AT2006★ 9 cited
A survey of (\infty, 1)-categories
Julia E. Bergner
In this paper we give a summary of the comparisons between different definitions of so-called (\infty,1)-categories, which are considered to be models for \infty-categories whose n…
math.AT2006
Adding inverses to diagrams encoding algebraic structures
Julia E. Bergner
We modify a previous result, which showed that certain diagrams of spaces are essentially simplicial monoids, to construct diagrams of spaces which model simplicial groups. Further…
math.AT2006
A characterization of fibrant Segal categories
Julia E. Bergner
In this note we prove that Reedy fibrant Segal categories are fibrant objects in the model category structure SeCat_c. Combining this result with a previous one, we thus have that…