👉 In mathematics, a sheaflike object is an algebraic structure that allows for a definition of various mathematical concepts such as homomorphisms and functors. Sheaves are defined in algebraic geometry as spaces that locally resemble varieties, but they can also be considered more general than this. A sheaf is a collection of objects together with a family of maps called sheaf functions from the collection to the underlying space. These maps can be used to define various operations on these objects and spaces.