Dimension theory of ringsCovers the dimension theory of rings, including additivity of dimension and height, Krull's Hauptidealsatz, and the height of general complete intersections.
CW ComplexesCovers the construction and properties of CW complexes, including weak topology and characteristic maps.
Interior and Closure in TopologyCovers the concepts of interior and closure of a set in a topological space, as well as isolated points and accumulation points.
Structure of AlgebrasCovers the structure of finite dimensional algebras and the characterization of semisimple algebras.
Lie Algebra: Group TheoryExplores Lie Algebra's connection to Group Theory through associative operations and Jacobi identities.