Initial route

The title of this article is ambiguous. For the ticket of the same name, see ticket start route .

Beginning distance is a concept of set theory and order theory. Is understood to mean initial stretch of a parent class , each of the predecessors of an element existing subclass . ${\displaystyle (K,<)}$ ${\displaystyle b\in K}$ ${\displaystyle T^{<b}=\{x\in K\mid x<b\}}$

The name of the initial route goes back to Hausdorff . At Cantor , the initial routes are called sections . The starting sections are starting sections .

See also

• Main filter

literature

• Hausdorff, F., Basic features of a theory of ordered sets , Mathematische Annalen, 1908, 65 , p. 439