In mathematics, an overcategory (also called a slice category) is a construction from category theory used in multiple contexts, such as with covering spaces (espace étalé). They were introduced as a mechanism for keeping track of data surrounding a fixed object X {\displaystyle X} in some category C {\displaystyle {\mathcal {C}}} .
In mathematics, an overcategory (also called a slice category) is a construction from category theory used in multiple contexts, such as with covering spaces (espace étalé). They were introduced as a mechanism for keeping track of data surrounding a fixed object X {\displaystyle X} in some category C {\displaystyle {\mathcal {C}}} .
Source: Wikipedia "Overcategory" · CC BY-SA 4.0
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