On the complex Levi-Civita field: algebraic and topological structures, and foundations for analysis

DOI10.22034/KJM.2023.378706.2735MaRDI QIDQ6583101

Khodr Shamseddine

Publication date: 6 August 2024

Published in: Khayyam Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

weak topologylinear topological spacevaluation topologynon-Archimedean complex analysiscomplex Levi-Civita field

Mathematics Subject Classification ID

Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10) Non-Archimedean valued fields (12J25) (p)-adic and power series fields (11D88) Non-Archimedean analysis (26E30)

Cites Work

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• Analytical properties of power series on Levi-Civita fields
• Fields: Algebraically closed and others
• On computational applications of the Levi-Civita field
• Convergence on the Levi-Civita field and study of power series
• Allgemeine Bewertungstheorie.
• Summary on non-Archimedean valued fields
• On Non-Archimedean Valued Fields: A Survey of Algebraic, Topological and Metric Structures, Analysis and Applications
• Advances in Ultrametric Analysis

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