Homotopy-minimal manifold

This article defines a property of manifolds and hence also of topological spaces

This term is nonstandard and is being used locally within the wiki. For its use outside the wiki, please define the term when using it.

Definition

Symbol-free definition

A manifold is termed homotopy-minimal (as a manifold) if it is not homotopy-equivalent to a manifold of smaller dimension.

Relation with other properties

Stronger properties

• Compact manifold: For full proof, refer: Compact implies homotopy-minimal