Generalization of a Real-Analysis Result to a Class of Topological\n Vector Spaces

2018/03/17 by Leonard Huang, Huang, Leonard T.
Computer Science · Decision Sciences · Engineering · Mathematics · #28A20 #46A16 #60A10 #Advanced Control Systems Optimization #Advanced Topology and Set Theory #Constraint Satisfaction and Optimization #FOS: Mathematics #Functional Analysis (math.FA) #Fuzzy and Soft Set Theory #Probability (math.PR)

paper · pdf · doi:10.48550/arxiv.1803.06457

openalex publication_date 2018/03/17 · openalex created_date 2022/10/04 · openalex updated_date 2026/07/28

Abstract

In this paper, we generalize an elementary real-analysis result to a class of\ntopological vector spaces. We also give an example of a topological vector\nspace to which the result cannot be generalized.\n

Related

• Notes on topological vector spaces
• Real algebraic structures
• Some aspects of algebraic topology: An analyst's perspective
• Set theory and topology. An introduction to the foundations of analysis. Part II: Topology - Fundamental notions
• An introduction to topological degree in Euclidean spaces