Triple
T21046752
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Knaster–Kuratowski–Mazurkiewicz lemma |
E518469
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | topological lemma |
C33138
|
CONCEPT FINISHED |
How this triple was built (1 step)
Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.
CD
Concept disambiguation
gpt-5-mini-2025-08-07
Target class: topological lemma Context triple: [Knaster–Kuratowski–Mazurkiewicz lemma, instanceOf, topological lemma]
-
A.
lemma in topology
chosen
A lemma in topology is a proven auxiliary statement about topological structures (such as open sets, continuity, or compactness) used as a stepping stone to establish more significant theorems.
-
B.
topology
Topology is the mathematical study of properties of spaces that are preserved under continuous deformations such as stretching or bending, but not tearing or gluing.
-
C.
topological construction
A topological construction is a method or process for building new topological spaces from given ones, typically by applying operations such as products, quotients, subspaces, or identifications.
-
D.
homeomorphism
A homeomorphism is a continuous bijective function between topological spaces whose inverse is also continuous, establishing a topological equivalence between them.
-
E.
topological algebra
A topological algebra is an algebra over a field that is also a topological vector space, where the algebraic operations (addition, scalar multiplication, and multiplication) are continuous with respect to the topology.
- F. None of above.
Provenance (1 batch)
The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.
| Step | Stage | Batch ID | Status | When |
|---|---|---|---|---|
| creating | Elicitation | batch_69e0b50438e08190917e2538bb8bc034 |
completed | April 16, 2026, 10:08 a.m. |
Created at: April 16, 2026, 2:34 p.m.