Asymptotic Geometry
- is the local theory of Banach spaces
- is a field of mathematics that investigates the geometric properties of finite-dimensional objects, such as convex bodies and normed spaces, as the dimension tends to infinity
- it is at the intersection of convex geometry and functional analysis
- the primary objects of study are typically finite-dimensional normed spaces, which can be represented as ℝ𝑛 equipped with a norm ‖⋅‖, or equivalently, a unit ball KX= { x ∈ ℝ𝑛: ‖x‖ ≤ 1 }, which is a centrally symmetric, compact, convex set with a non-empty interior