Handlebody

In mathematics, Henkel body 3 -dimensional structures whose edges are faces.

Definition

The handle body of genus obtained by tackling a three -dimensional solid sphere disjoint Henkel.

In formulas: Be a full sphere, are injective continuous maps with disjoint images, then we define the handle body as a quotient of

Under the equivalence relation for.

Is an orientable 3-dimensional manifold with boundary, its boundary is a surface of genus. The solid sphere is called a handle body of genus.

: Full Pretzel

• Geometric topology