Word.ws English Dictionary

limit point

limit point noun: 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.

Noun

limit point (plural 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.1962 [Ginn and Company], Einar Hille, Analytic Function Theory, Volume 2, 2005, American Mathematical Society, page 19, The function sin ( cot 1/z)
    • If z_0 is a limit point of S, then every ϵ-neighborhood of z_0 must contain infinitely many points of S.1970 [Macmillan], John W. Dettman, Applied Complex Variables, 1984, Dover, unnumbered page, Let S' be the set of limit points of a set S. Then the closure ◌̅S of S is S∪S'. […]
    Synonyms:
    accumulation point, cluster point

limit point meaning in Tamil

limit point in Tamil

எல்லைப்புள்ளி

Synonyms of limit point

Forms of limit point

plurallimit points

Questions about limit point

What does limit point mean?
Limit point means 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.
What is limit point in Tamil?
Limit point in Tamil is எல்லைப்புள்ளி. See Limit point meaning in Tamil.
What part of speech is limit point?
Limit point is a noun.
What is the plural of limit point?
The plural of limit point is limit points.

Words near limit point in the dictionary

  1. limit order
  2. limit orders
  3. limit ordinal
  4. limit ordinals
  5. limit out
  6. limit point
  7. limit points
  8. limit screw
  9. limit screws
  10. limit situation
  11. limit situations

Source and license

Adapted from Wiktionary: limit point (page history and authors); limit point (Tamil Wiktionary) (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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