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 of the disjoint union of X and Y by the identification x0 ∼ y0: <math>X\vee Y = (X\amalg Y)\;/ \;\{x_0 \sim y_0\}</math> More generally, suppose (Xi)i∈I is a family of pointed spaces with basepoints {pi}.

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  • 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 of the disjoint union of X and Y by the identification x0 ∼ y0: <math>X\vee Y = (X\amalg Y)\;/ \;\{x_0 \sim y_0\}</math> More generally, suppose (Xi)i∈I is a family of pointed spaces with basepoints {pi}. The wedge sum of the family is given by: <math>\bigvee_i X_i := \coprod_i X_i\;/ \;\{p_i\sim p_j \mid i,j \in I\}. </math> In other words, the wedge sum is the joining of several spaces at a single point. This definition of course depends on the choice of {pi} unless the spaces {Xi} are homogeneous. Sometimes the wedge sum is called the wedge product, but this is not the same thing as the exterior product which is also often called the wedge product.
  • In topologia, il bouquet di un insieme di spazi topologici è lo spazio che si ottiene "attaccando" tutti questi spazi per un punto.
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  • 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 of the disjoint union of X and Y by the identification x0 ∼ y0: <math>X\vee Y = (X\amalg Y)\;/ \;\{x_0 \sim y_0\}</math> More generally, suppose (Xi)i∈I is a family of pointed spaces with basepoints {pi}.
  • In topologia, il bouquet di un insieme di spazi topologici è lo spazio che si ottiene "attaccando" tutti questi spazi per un punto.
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  • Wedge sum
  • Bouquet (topologia)
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