A new model for pro-categories

• Ilan Barnea ^[2] ; Tomer M. Schlank ^[1]
  1. [1] Massachusetts Institute of Technology

     Massachusetts Institute of Technology

     City of Cambridge, Estados Unidos

     
  2. [2] University Hospital Muenster

     University Hospital Muenster

     Kreisfreie Stadt Münster, Alemania

     
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 219, Nº 4 ((April 2015) ), 2015, págs. 1175-1210
• Idioma: inglés
• DOI: 10.1016/j.jpaa.2014.06.001
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• Resumen

  • In this paper we present a new way to construct the pro-category of a category. This new model is very convenient to work with in certain situations. We present a few applications of this new model, the most important of which solves an open problem of Isaksen [7] concerning the existence of functorial factorizations in what is known as the strict model structure on a pro-category. Additionally we explain and correct an error in one of the standard references on pro-categories.