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- Wedge_sum abstract "In topology, the wedge sum is a "one-point union" of a family of topological spaces. Specifically, if X and Y are pointed spaces (i.e. topological spaces with distinguished basepoints x0 and y0) the wedge sum of X and Y is the quotient space of the disjoint union of X and Y by the identification x0 ∼ y0:where ∼ is the equivalence closure of the relation {(x0,y0)}.More generally, suppose (Xi )i∈I is a family of pointed spaces with basepoints {pi }. The wedge sum of the family is given by:where ∼ is the equivalence relation {(pi , pj ) | i,j ∈ I }.In other words, the wedge sum is the joining of several spaces at a single point. This definition is sensitive to the choice of the basepoints {pi}, unless the spaces {Xi } are homogeneous.The wedge sum is again a pointed space, and the binary operation is associative and commutative (up to isomorphism).Sometimes the wedge sum is called the wedge product, but this is not the same concept as the exterior product, which is also often called the wedge product.".
- Wedge_sum wikiPageID "684143".
- Wedge_sum wikiPageRevisionID "564270229".
- Wedge_sum hasPhotoCollection Wedge_sum.
- Wedge_sum subject Category:Binary_operations.
- Wedge_sum subject Category:Homotopy_theory.
- Wedge_sum subject Category:Topology.
- Wedge_sum type BinaryOperations.
- Wedge_sum type BooleanOperation113440935.
- Wedge_sum type DataProcessing113455487.
- Wedge_sum type Operation113524925.
- Wedge_sum type PhysicalEntity100001930.
- Wedge_sum type Process100029677.
- Wedge_sum type Processing113541167.
- Wedge_sum comment "In topology, the wedge sum is a "one-point union" of a family of topological spaces. Specifically, if X and Y are pointed spaces (i.e. topological spaces with distinguished basepoints x0 and y0) the wedge sum of X and Y is the quotient space of the disjoint union of X and Y by the identification x0 ∼ y0:where ∼ is the equivalence closure of the relation {(x0,y0)}.More generally, suppose (Xi )i∈I is a family of pointed spaces with basepoints {pi }.".
- Wedge_sum label "Bouquet (mathématiques)".
- Wedge_sum label "Bouquet (topologia)".
- Wedge_sum label "Bukiet (topologia)".
- Wedge_sum label "Wedge sum".
- Wedge_sum label "Wedge-Produkt (Topologie)".
- Wedge_sum label "楔和".
- Wedge_sum sameAs Wedge-Produkt_(Topologie).
- Wedge_sum sameAs Bouquet_(mathématiques).
- Wedge_sum sameAs Bouquet_(topologia).
- Wedge_sum sameAs 쐐기합.
- Wedge_sum sameAs Bukiet_(topologia).
- Wedge_sum sameAs m.032r2v.
- Wedge_sum sameAs Q1781358.
- Wedge_sum sameAs Q1781358.
- Wedge_sum sameAs Wedge_sum.
- Wedge_sum wasDerivedFrom Wedge_sum?oldid=564270229.
- Wedge_sum isPrimaryTopicOf Wedge_sum.