Mapping Class Group - Mathematics & Logic - Pure Mathematics Dictionary Definition The group of isotopy classes of self‑homeomorphisms of a topological surface or manifold, with group operation induced by composition; elements are homeomorphisms considered equivalent when they differ by an isotopy.
Mapping Class Group - Mathematics & Logic - Pure Mathematics Dictionary Definition The group of isotopy classes of self‑homeomorphisms of a topological surface or manifold, with group operation induced by composition; elements are homeomorphisms considered equivalent when they differ by an isotopy.