discrete topology

English

Noun

discrete topology (plural discrete topologies)

1. (topology) A topology on a set consisting of all subsets of that set.

   In the discrete topology all sets are open (but they are also all closed).

   An infinite set with discrete topology is not compact.

Related terms

• discrete metric

Translations

topology on a set consisting of all subsets of that set

• Chinese:

  Mandarin: 離散拓撲／离散拓扑 (lísàn tuòpū)

• Icelandic: sundurlaust grannmynstur n, strjált grannmynstur n