👉 In mathematics, a motivic space is a type of algebraic space defined using motives. Motives are an abstract notion that can be used to describe algebraic spaces and their moduli spaces. Motivic spaces have several properties that make them particularly interesting in algebraic geometry. They allow for the construction of smooth projective varieties with prescribed geometric structure, which has applications in algebraic topology and the theory of algebraic cycles. One way to define a motivic space is by using its moduli
