Homologically injective subspace: Difference between revisions
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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== | ||
Revision as of 01:48, 27 October 2007
This article defines a property over pairs of a topological space and a subspace, or equivalently, properties over subspace embeddings (viz, subsets) in topological spaces
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.