It is the study of differentiable manifolds and differentiable maps.One fundamental problem is that of classifying manifolds upto diffeomorphism. Differntial topology is what Poincare understood as topology or "analysis situs.
It is the study of differentiable manifolds and differentiable maps.One fundamental problem is that of classifying manifolds upto diffeomorphism. Differntial topology is what Poincare understood as topology or "analysis situs.