Set theory and topology. An introduction to the foundations of analysis. Part II: Topology - Fundamental notions

2013/06/28 by Felix Nagel, Nagel, Felix
Computer Science · #Computability, Logic, AI Algorithms #FOS: Mathematics #Functional Analysis (math.FA) #General Topology (math.GN) #History and Overview (math.HO)

paper · pdf · doi:10.48550/arxiv.1306.6926

openalex publication_date 2013/06/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We provide a formal introduction into the classic theorems of general topology and its axiomatic foundations in set theory. In this second part we introduce the fundamental concepts of topological spaces, convergence, and continuity, as well as their applications to real numbers. Various methods to construct topological spaces are presented.

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