A structured visual guide to the major mathematical areas and their relationships.
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This subtopic studies real algebraic and analytic geometry, focusing on real varieties, semialgebraic sets, and geometric behavior over the reals.
14P05 studies real algebraic sets in real algebraic and analytic geometry. It emphasizes real forms of algebraic sets, semialgebraic structure, and the topological behavior of real and analytic varieties.
Real algebraic sets (Wikipedia)
Used to organize definitions, compare equivalent formulations, and support proof-driven or computational work in algebra and algebraic geometry.
14P10 studies semialgebraic sets and related spaces in real algebraic and analytic geometry. It emphasizes real forms of algebraic sets, semialgebraic structure, and the topological behavior of real and analytic varieties.
Semialgebraic sets and related spaces (Wikipedia)
Used to organize definitions, compare equivalent formulations, and support proof-driven or computational work in algebra and algebraic geometry.
14P15 studies real analytic and semianalytic sets in real algebraic and analytic geometry. It emphasizes real forms of algebraic sets, semialgebraic structure, and the topological behavior of real and analytic varieties.
Real analytic and semianalytic sets (Wikipedia)
Used to organize definitions, compare equivalent formulations, and support proof-driven or computational work in algebra and algebraic geometry.
14P20 studies nash functions and manifolds in real algebraic and analytic geometry. It emphasizes real forms of algebraic sets, semialgebraic structure, and the topological behavior of real and analytic varieties.
Nash functions and manifolds (Wikipedia)
Used to organize definitions, compare equivalent formulations, and support proof-driven or computational work in algebra and algebraic geometry.
14P25 studies topology of real algebraic varieties in real algebraic and analytic geometry. It emphasizes real forms of algebraic sets, semialgebraic structure, and the topological behavior of real and analytic varieties.
Topology of real algebraic varieties (Wikipedia)
Used to organize definitions, compare equivalent formulations, and support proof-driven or computational work in algebra and algebraic geometry.