New posts in Vector Space Isomorphism

Intuition behind Isomorphic spaces "Being the Same"

1-Torus as finite dimensional $\mathbb{R}$-vector space is one dimensional, yet not isomorphic to $\mathbb{R}$

Are two submodules (where one is contained in the other) isomorphic if their quotientmodules are isomorphic?

Is $ f(A) = A + 2A^{T} $ an isomorphism of $ \mathbb R^{5,5} $ onto itself?

Prove that there is a natural isomorphism between $V$ and $(V^*)^*$