Local Torelli Criterion for Smooth Hypersurfaces via the Jacobian Ring Geometry Affine Isomorphisms Preserve Affine Subspaces Geometry Fibre Bundle Reconstruction from Cocycle Data Geometry Connectedness of Centralizers of Tori in Compact Connected Lie Groups Geometry Indiscrete Spaces Are Hausdorff Exactly When They Have At Most One Point Topology Connection Independence of Pontryagin Forms Geometry Projective Space as the Quotient of Nonzero Vectors by Scalar Multiplication Geometry Finite-Dimensional Lefschetz Commutation Relations Geometry Geometry Area