discrete topology

noun

A topology on a set consisting of all subsets of that set.

“An infinite set with discrete topology is not compact.”

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Meanings

noundiscrete topology (plural discrete topologies)

plural discrete topologies

  1. mathematicsA topology on a set consisting of all subsets of that set.

    An infinite set with discrete topology is not compact.

    1 more example

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

Translations

Chinese Mandarin 離散拓撲 /离散拓扑
  • 離散拓撲 /离散拓扑 (lísàn tuòpū)topology on a set consisting of all subsets of that set
Finnish diskreetti topologia
  • diskreetti topologiatopology on a set consisting of all subsets of that set
Icelandic sundurlaust grannmynstur, strjált grannmynstur
  • sundurlaust grannmynsturtopology on a set consisting of all subsets of that set
  • strjált grannmynsturtopology on a set consisting of all subsets of that set
Polish topologia dyskretna
  • topologia dyskretnatopology on a set consisting of all subsets of that set
Cite this entry
APA

discrete topology. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/discrete%20topology

MLA

“discrete topology.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/discrete%20topology. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “discrete topology,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/discrete%20topology.

Source: discrete topology on Wiktionary, CC BY-SA 4.0.