Homologically injective subspace: Difference between revisions
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{{toposubspace property}} | {{homology-dependent toposubspace property}} | ||
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==Definition== | ==Definition== | ||
A [[subspace]] of a [[topological space]] is said to be '''homologically injective''' if the map on homology induced by its inclusion, is injective for all homology | A [[subspace]] of a [[topological space]] is said to be '''homologically injective''' if the map on homology induced by its inclusion, is injective for all [[homology group]]s. | ||
==Relation with other properties== | ==Relation with other properties== | ||
Latest revision as of 19:46, 11 May 2008
Template:Homology-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 homologically injective if the map on homology induced by its inclusion, is injective for all homology groups.