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THE AXIOM OF CHOICE EQUIVALENTS AND ITS APPLICATIONS
Maqola haqida umumiy ma'lumotlar
In this article, we examine the Axiom of Choice and other equivalent principles. We will discuss the fact that many mathematical conclusions, which were assumed to be clear for years, can be expressed based on the Axiom of choice. Choosing ten numbers (they don't have to be unequal) from ten boxes is simple and basic. This choice may not be obvious when the number of choices is infinite. All the above concepts revolve around the principle called the Axiom of Choice. In this article, we present the principles equivalent to the Axiom of Choice with a detailed proof, and we also prove some important theorems related to other parts of mathematics with the help of the Axiom of Choice and its equivalents.
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Siawash, S. N. (2023). THE AXIOM OF CHOICE EQUIVALENTS AND ITS APPLICATIONS. Academic Research in Educational Sciences, 4(11), 104–114. https://doi.org/
Siawash, Sayed. “THE AXIOM OF CHOICE EQUIVALENTS AND ITS APPLICATIONS.” Academic Research in Educational Sciences, vol. 11, no. 4, 2023, pp. 104–114, https://doi.org/.
Siawash, N. 2023. THE AXIOM OF CHOICE EQUIVALENTS AND ITS APPLICATIONS. Academic Research in Educational Sciences. 11(4), pp.104–114.