Phrase guide
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
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.
noun
Any of four topological invariants associated with a topological space. The smallest Listing number counts the number of connected components of a space, and is thus equivalent to the zeroth Betti number.
Definition source: English Wiktionary via Wiktextract
Topics: mathematics, sciences
No example sentence was provided for this meaning.
Synonyms: none provided
Antonyms: none provided
History
These numbers were introduced by the 19th-century mathematician Johann Benedict Listing, and later given this name by Charles Sanders Peirce.
