---- > [!definition] Definition. ([[half-open interval]]) > If $X$ a set and lt;$ an [[strict order relation]] on $X$, and if $a<b$, we call the sets $(a,b] :=\{ x : a < x \leq b \} \text{ and } [a,b):=\{ x : a \leq x < b\}$ > **half-open intervals in $X$**. ---- #### ---- #### 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 > ```