Listing number

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.

Ask AI about this wordChatGPTClaudePerplexityGoogle AIGrok

Meanings

nounListing number (plural Listing numbers)

plural Listing numbers

  1. mathematicsAny 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.

Origin

These numbers were introduced by the 19th-century mathematician Johann Benedict Listing, and later given this name by Charles Sanders Peirce.

Full word history & related roots →
Cite this entry
APA

Listing number. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Listing%20number

MLA

“Listing number.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Listing%20number. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Listing number,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Listing%20number.

Source: Listing number on Wiktionary, CC BY-SA 4.0.