About Cantor Works on Trigonometric Series

TL;DR

This paper explores Cantor's work on representing functions with trigonometric series, highlighting its significance in the development of point-set topology and set theory.

Contribution

It provides an analysis of Cantor's proofs on the uniqueness of trigonometric series representations and their foundational impact.

Findings

Cantor's work influenced the development of point-set topology.

His proofs established the uniqueness of trigonometric series representations.

The research underscores the foundational role of these ideas in set theory.

Abstract

This paper is an investigation into Cantor works about representing a function with trigonometric series, and his proofs about its uniqueness. These works are important, because they cause invention of point-set topology, and foundation of basic ideas that led Cantor to his set theory.