The study of the deficiency of a category arises from the problem of understanding what is a presentation of a category with the least number of equations and, therefore, avoiding redundancy. I have been studying deficiency within the context of descent and lifting of biadjoints (within the context of categories, 2categories, Graycategories and tricategories). The basic general results of low dimensional categories are going to be in the first part of my PhD thesis. In this talk, after some background, I will introduce the 1dimensional case. I will present my very first results related to deficiency. With this motivation, I will introduce the appropriate definition of deficiency of a category. This is part of my PhD work under supervision of Prof. Maria Manuel Clementino.
