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What is A New Kind of Topological Vector Space about?
This paper introduces a new type of topological vector space using a β-approach structure, defining β-distance on non-empty sets and exploring its properties. It establishes the relationship between metric spaces and β-approach spaces, and discusses concepts such as β-contraction functions, convergent sequences, and β-groups. The study aims to provide a comprehensive framework for understanding these new structures in relation to classical topological vector spaces.
- Author
- analysisreal338
- Language
- EN