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Homotopically injective subspace

Template:Homotopy-dependent toposubspace property

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

A subspace of a topological space is said to be homotopically injective if the maps on all homotopy groups induced by its inclusion, are injective.

Relation with other properties

Stronger properties