Open Set Definition Homeomorphism Definition Dimension Definition Adjoint Representation of a Lie Group Geometry Kodaira Stability Theorem Geometry Closedness of Chern-Weil Forms Geometry Composition of Diffeomorphisms Geometry Opposed Filtration Characterization of Pure Hodge Structures Geometry Interior Is the Largest Open Subset Topology Differential Equation for the Baker-Campbell-Hausdorff Path Geometry Gauge Transformation Law for Local Connection Forms Geometry Geometry Area