CrossRef 2025

QUOTIENT SET AS A MEANS OF CONSTRUCTIVE DETERMINATION OF NUMBER CLASSES

S. Ya. Serovaisky

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Abstrak

A constructive definition of natural, integer, rational, and real numbers is given, based on the concept of a quotient set. It is shown that generalizations of these constructions are procedures for constructing a Grothendieck group and completion of metric spaces, which in turn out to be special cases of some free functors.

Penulis (1)

S. Ya. Serovaisky

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Serovaisky, S.Y. (2025). QUOTIENT SET AS A MEANS OF CONSTRUCTIVE DETERMINATION OF NUMBER CLASSES. https://doi.org/10.22363/2224-7580-2025-4-69-80

Akses Cepat

Lihat di Sumber doi.org/10.22363/2224-7580-2025-4-69-80

Informasi Jurnal

Tahun Terbit: 2025
Bahasa: en
Sumber Database: CrossRef
DOI: 10.22363/2224-7580-2025-4-69-80
Akses: Terbatas