Triple
T14314100
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Bernstein set |
E354908
|
entity |
| Predicate | definedOn |
P4464
|
FINISHED |
| Object |
Cantor space
Cantor space is a classic totally disconnected, perfect, compact topological space homeomorphic to the middle-thirds Cantor set and fundamental in set theory, topology, and descriptive set theory.
|
E160400
|
NE FINISHED |
Disambiguation candidates (2 decisions)
The exact options the model was shown at each disambiguation step, with the option it chose highlighted — the evidence behind this triple's disambiguated ids.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Cantor space Context triple: [Bernstein set, definedOn, Cantor space]
-
A.
Cantor set
The Cantor set is a classic fractal subset of the real line formed by repeatedly removing the open middle third of intervals, notable for being uncountable, perfect, nowhere dense, and having zero Lebesgue measure.
-
B.
Baire space
Baire space is a fundamental topological space—typically the set of all infinite sequences of natural numbers with the product topology—that serves as a central object in descriptive set theory and general topology.
-
C.
Sierpiński space
The Sierpiński space is a fundamental two-point topological space used as a simple model in topology and theoretical computer science, especially for studying open sets, continuity, and domain theory.
-
D.
Tychonoff space
A Tychonoff space is a topological space that is both completely regular and Hausdorff, forming a central class in general topology with strong separation and embedding properties.
-
E.
Stone–Čech compactification
The Stone–Čech compactification is a construction in topology that associates to any topological space a universal, maximally extensive compact Hausdorff space into which it densely embeds.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Cantor space Target entity description: Cantor space is a classic totally disconnected, perfect, compact topological space homeomorphic to the middle-thirds Cantor set and fundamental in set theory, topology, and descriptive set theory.
-
A.
Cantor set
chosen
The Cantor set is a classic fractal subset of the real line formed by repeatedly removing the open middle third of intervals, notable for being uncountable, perfect, nowhere dense, and having zero Lebesgue measure.
-
B.
Baire space
Baire space is a fundamental topological space—typically the set of all infinite sequences of natural numbers with the product topology—that serves as a central object in descriptive set theory and general topology.
-
C.
Sierpiński space
The Sierpiński space is a fundamental two-point topological space used as a simple model in topology and theoretical computer science, especially for studying open sets, continuity, and domain theory.
-
D.
Tychonoff space
A Tychonoff space is a topological space that is both completely regular and Hausdorff, forming a central class in general topology with strong separation and embedding properties.
-
E.
Stone–Čech compactification
The Stone–Čech compactification is a construction in topology that associates to any topological space a universal, maximally extensive compact Hausdorff space into which it densely embeds.
- F. None of above.
Provenance (5 batches)
| Stage | Batch ID | Job type | Status |
|---|---|---|---|
| creating | batch_69d8278ed42c8190b9f882dcce611347 |
elicitation | completed |
| NER | batch_69de85b49e5481909b9ffab2d922e284 |
ner | completed |
| NED1 | batch_69fd4687c6bc819088452892128c420e |
ned_source_triple | completed |
| NED2 | batch_69fd4879b2688190ac208545ae226c93 |
ned_description | completed |
| NEDg | batch_69fd47e2b8d481909ed8274a96615b36 |
nedg | completed |
Created at: April 10, 2026, 1:12 a.m.