Phrase guide

discrete topology

noun · 1 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

Each Play button uses your device's default local English voice, or a natural local fallback. The selected voice name appears after playback. This is synthesized speech, not a source recording.

No pronunciation record was provided for this word.

1

noun

Meaning 1

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

Definition source: English Wiktionary via Wiktextract

Topics: mathematics, sciences, topology

Examples

  • In the discrete topology all sets are open (but they are also all closed).
  • An infinite set with discrete topology is not compact.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

No etymology was provided for this word.

Across languages

Translations

4 source translations are retained for this English entry.

  • Chinese Mandarin: 離散拓撲 /离散拓扑 (lísàn tuòpū) — topology on a set consisting of all subsets of that set
  • Finnish: diskreetti topologia — topology on a set consisting of all subsets of that set
  • Icelandic: sundurlaust grannmynstur — topology on a set consisting of all subsets of that set
  • Icelandic: strjált grannmynstur — topology on a set consisting of all subsets of that set