If skills are increasing faster in a rich country than in a poor one, incomes would not be expected to converge. Economists have estimates of the contribution of the factors to growth. Granted, these estimates are rough. However, it is clear that technology plays a major role in economic growth. B. New growth theories focus on technology.
Technology is the result of investment in creating technology.
Growth theory separates investment in capital and investment in technology. Technological advances in one sector of the economy lead to advances in completely different sectors.