Manifolds, Knots and Geometric Topology

Branches that study the shapes of spaces that look locally like ordinary space, and the ways such shapes can sit inside one another. An entry belongs here when its cited source describes smooth and piecewise linear manifolds, the classification of surfaces and higher dimensional spaces, or knots and links and their invariants. It does not belong here when the branch is chiefly about the abstract foundations of continuity or about computing algebraic invariants of arbitrary spaces. The group is where topology meets geometry most directly.