A structured visual guide to the major mathematical areas and their relationships.
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This subtopic introduces the core ideas in relationships with applications, including foundational concepts, standard methods, and the main questions used to organize the area. Typical uses include building mathematical background, framing related research problems, and supporting applications in neighboring fields where these concepts provide useful structure.
Nonstandard topology. This topic concerns applications of general topology to other mathematical disciplines and applied fields.
Wikipedia: Topological data analysis
Used to apply abstract topological ideas in analysis, data science, and geometry.