# Tangent bundle of vector space

if we have a vector space V,can we define the tangent bundle of V rated TV?

Fredrik
Staff Emeritus
Gold Member
A tangent bundle is defined over a manifold, not over a vector space. However, if the vector space is finite-dimensional, we can easily define a manifold structure on it, and define the tangent bundle the usual way.

thnx this is what i need :)