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open set

set that does not contain any of its boundary points
Thing type_of_set Q213363
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open set

Summary

open set is a type of set[1]. It has Wikipedia articles in 26 language editions, a strong signal of global cultural recognition.[2]

Key Facts

  • open set's instance of is recorded as type of set[3].
  • open set is a type of Gδ set[4].
  • open set is part of list of types of sets[5].
  • open set is the opposite of closed set[6].
  • open set comprises interior[7].
  • open set's has characteristic is recorded as openness[8].
  • open set's studied by is recorded as topology[9].
  • open set's does not have part is recorded as boundary[10].
  • open set's on focus list of Wikimedia project is recorded as Wikipedia:Vital articles/Level/4[11].
  • open set's maintained by WikiProject is recorded as WikiProject Mathematics[12].

Body

Definition and Type

open set's instance of is recorded as type of set[3]. It is a type of Gδ set[4]. It is the opposite of closed set[6].

Use and Application

open set comprises interior[7]. It is part of list of types of sets[5].

Why It Matters

open set has Wikipedia articles in 26 language editions, a strong signal of global cultural recognition.[2] It is known by 16 alternative names across languages and contexts.[13]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] ↑ . wikidata.org.
  2. [4] ↑ . wikidata.org.
  3. [5] ↑ . wikidata.org.
  4. [6] ↑ . wikidata.org.
  5. [7] ↑ . wikidata.org.
  6. [8] ↑ . wikidata.org.
  7. [9] ↑ . wikidata.org.
  8. [10] ↑ . wikidata.org.
  9. [11] ↑ . wikidata.org.
  10. [12] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikidata sitelinks. wikidata.org.
  2. [13] ↑ . Wikidata aliases. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). open set. Retrieved May 3, 2026, from https://4ort.xyz/entity/open-set
MLA “open set.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/open-set.
BibTeX @misc{4ortxyz_open-set_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{open set}}, year = {2026}, url = {https://4ort.xyz/entity/open-set}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): open set — https://4ort.xyz/entity/open-set (retrieved 2026-05-03)

Canonical URL: https://4ort.xyz/entity/open-set · Last refreshed:

Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 2d ago · Mynus grey · 2026-07-02 view diff on Wikidata ↗
    Subclass of → —
    Instance of → type of set
    P14534 → IsOpen
    Instance of → —
    + 13 other properties edited (see Wikidata diff for full list)
    "/* wbcreateclaim-create:1| */ [[Property:P14534]]: IsOpen, #quickstatements; #temporary_batch_1783013068346"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.