limit point

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limit point

noun limit points

  1. Given a subset S of a given topological space T, any point p whose every neighborhood contains some point, distinct from p, which belongs to S. is an example of a function having infinitely many essential singularities with a limit point at z=0. It is an easy matter to give examples of "elementary" functions whose singularities have a countable number of limit points.

    Similar: accumulation point, cluster point

Translations

Every language

noun point whose every neighborhood contains a point in a given subset

Françaispoint d'accumulation
DeutschHäufungspunkt
Italianopunto di accumulazione
עבריתנקודת גבול nekudát gvúl

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MLA

"limit point." Wiktionary, via Micwyn, micwyn.com/word/limit%20point. Accessed 6 Nov. 2026.

APA

limit point. (n.d.). In Wiktionary, via Micwyn. Retrieved November 6, 2026, from https://micwyn.com/word/limit%20point

Chicago

"limit point." Wiktionary, via Micwyn. Accessed November 6, 2026. https://micwyn.com/word/limit%20point.

BibTeX
@misc{limit_point_2026,
  title = {limit point},
  howpublished = {Wiktionary, via Micwyn},
  year = {2026},
  url = {https://micwyn.com/word/limit%20point},
  urldate = {2026-11-06}
}