cobordism

As nouns the difference between taxonomy and cobordism

is that taxonomy is the science or the technique used to make a classification while cobordism is (mathematics) a connection between two manifolds of the same dimension (n) via a manifold of dimension $n+1$, where the smaller manifolds are included in the boundary of the larger manifold.

Bordism is a synonym of cobordism.

In mathematics terms the difference between cobordism and bordism

is that cobordism is the theory and study of such objects while bordism is the property of two closed manifolds whose disjoint union is the boundary of a compact manifold.

Cobordism is a related term of cobordant.

As a noun cobordism

is (mathematics) a connection between two manifolds of the same dimension (n) via a manifold of dimension $n+1$, where the smaller manifolds are included in the boundary of the larger manifold.

As an adjective cobordant is

(of two manifolds of the same dimension) such that their disjoint union bounds a manifold.