---- > [!definition]+ Definition. ([[wedge sum]]) > The **wedge sum** of [[pointed set|based]] [[topological space|topological spaces]] $(X, x_{0})$ and $(Y, y_{0})$ is the [[adjunction space]] > $X \vee Y := X \sqcup Y / x_{0} \sim y_{0}$ > obtained by [[quotient space|quotienting]] the [[disjoint union topology|disjoint union]] of $X$ and $Y$ by the [[equivalence relation]] generated by $x_{0} \sim y_{0}$. ^definition ---- #### References > [!backlink] > ```dataview > TABLE rows.file.link as "Further Reading" > FROM [[]] > FLATTEN file.tags as Tag > WHERE Tag = "#definition" OR Tag = "#theorem" OR Tag = "#MOC" OR Tag = "#proposition" OR Tag = "#axiom" > GROUP BY Tag > ``` > [!frontlink] > ```dataview > TABLE rows.file.link as "Further Reading" > FROM outgoing([[]]) > FLATTEN file.tags as Tag > WHERE Tag = "#definition" OR Tag = "#theorem" OR Tag = "#MOC" OR Tag = "#proposition" OR Tag = "#axiom" > GROUP BY Tag > ``` #reformatrevisebatch01