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How much algebraic and differential topology is used in economic theory?

Economics Dec 12, 2020

How much algebraic and differential topology is used in economic theory?

Expert Solution

Examining various aspects of a differential topology grid based on the economic system helps in establishing an overview of how well the economy is doing financially. For instance, the models about the labor of the market show personal employment conditions. These conditions vary significantly from one person to another hence resulting in a difference in wages and rates of employment. Topology displays compelling aspects that hold undisputed importance, which in turn contributes to the well-being of the economy. Examples of such elements include; the diagonal theory and the theory of Sard.

Another field that topology is applied is in the research concerning the stability of the economy, with changing factors in the marketplace. Algebraic topology studies different aspects of mathematics, which in turn contributes to the study of economics. Besides, topology aims at realizing various algebraic functions that lead to its classification. That is, from topology, up to homeomorphism. But most of the time it classifies it up to homotopic.

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