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- James_reduced_product abstract "In topology, a branch of mathematics, the James reduced product or James construction J(X) of a topological space X with given basepoint e is the quotient of the disjoint union of all powers X, X2, X3, ... obtained by identifying points (x1,...,xk−1,e,xk+1,...,xn) with (x1,...,xk−1, xk+1,...,xn). In other words its underlying set is the free monoid generated by X (with unit e). It was introduced by Ioan James (1955).For a connected CW complex X, the James reduced product J(X) has the same homotopy type as ΩΣX, the loop space of the suspension of X.The commutative analogue of the James reduced product is called the infinite symmetric product.".
- James_reduced_product wikiPageID "31336256".
- James_reduced_product wikiPageLength "1313".
- James_reduced_product wikiPageOutDegree "10".
- James_reduced_product wikiPageRevisionID "648613740".
- James_reduced_product wikiPageWikiLink Annals_of_Mathematics.
- James_reduced_product wikiPageWikiLink CW_complex.
- James_reduced_product wikiPageWikiLink Category:Algebraic_topology.
- James_reduced_product wikiPageWikiLink Disjoint_union.
- James_reduced_product wikiPageWikiLink Infinite_symmetric_product.
- James_reduced_product wikiPageWikiLink Loop_space.
- James_reduced_product wikiPageWikiLink Mathematics.
- James_reduced_product wikiPageWikiLink Quotient_space_(topology).
- James_reduced_product wikiPageWikiLink Topological_space.
- James_reduced_product wikiPageWikiLink Topology.
- James_reduced_product wikiPageWikiLinkText "James reduced product".
- James_reduced_product authorlink "Ioan James".
- James_reduced_product first "Ioan".
- James_reduced_product hasPhotoCollection James_reduced_product.
- James_reduced_product last "James".
- James_reduced_product wikiPageUsesTemplate Template:Citation.
- James_reduced_product wikiPageUsesTemplate Template:Harvs.
- James_reduced_product wikiPageUsesTemplate Template:Topology-stub.
- James_reduced_product year "1955".
- James_reduced_product subject Category:Algebraic_topology.
- James_reduced_product hypernym Quotient.
- James_reduced_product comment "In topology, a branch of mathematics, the James reduced product or James construction J(X) of a topological space X with given basepoint e is the quotient of the disjoint union of all powers X, X2, X3, ... obtained by identifying points (x1,...,xk−1,e,xk+1,...,xn) with (x1,...,xk−1, xk+1,...,xn). In other words its underlying set is the free monoid generated by X (with unit e).".
- James_reduced_product label "James reduced product".
- James_reduced_product sameAs m.0gjdzmh.
- James_reduced_product sameAs James_reducerade_produkt.
- James_reduced_product sameAs Q16979721.
- James_reduced_product sameAs Q16979721.
- James_reduced_product wasDerivedFrom James_reduced_product?oldid=648613740.
- James_reduced_product isPrimaryTopicOf James_reduced_product.