👉 The term "homocategoric" is a mathematical concept in category theory, specifically used to describe a type of object that is both homotopically trivial and cohomologous to zero. In other words, it is an object whose homology groups are zero (i.e., its fundamental group is trivial). This concept has applications in various areas of mathematics, including algebraic topology, homological algebra, and the theory of operads. In algebraic topology, a homocategor
