Wikimedia neighborhood · Wikidata observation Observed Graph-projection

natural transformation

transformation between two functors studied in category theory

Provider: Wikidata. These recorded connections are observations, not Counterpedia claims. They do not establish source support.

Data and provenance

Provider: Wikidata · Entity ID: Q1442189

Release: sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7

Graph membership is not truth. Each relation below is an observed typed edge the local Wikimedia graph bundle already materialized — not a corroborated, verified, or admitted claim. Bounded to 40 relations via an offset-index lookup (offset_index_binary_search), never a full scan of the bundle.Serving a published subset: joined entities + 1-hop neighborhood of 35,994 exact Wikipedia–Wikidata title matches. A subject that is not itself in that subset carries only the relations the subset recorded for it, so a small count here is the published scope and not a complete relationship inventory.

Development requests are not available on this deployment. The observed entity and its graph links remain readable.

1-hop relations (13)

Observed adjacency only. Each spoke is a typed edge already materialized in the graph, labeled by its recorded predicate — graph proximity is not support, corroboration, or admission. The links below are the accessible, no-JavaScript path to the same neighbors.

Follow a connection

Grouped by a fixed presentation taxonomy for legibility only. The grouping asserts no rank, truth, support, or standing — every observed edge is carried, none reordered by importance.

Identity & relations (3)

→ subclass of (P279)indexed familyObserved
Relationship details
Provider: Wikidata · Property: P279 · Direction: outgoing · Entity ID: Q856215
→ subclass of (P279)morphismObserved
Relationship details
Provider: Wikidata · Property: P279 · Direction: outgoing · Entity ID: Q1948412
→ instance of (P31)transformationObserved
Relationship details
Provider: Wikidata · Property: P31 · Direction: outgoing · Entity ID: Q12202238

Other connections (10)

→ Relationship name unavailable (P5555)Natural transformation.svgObserved
Relationship details
Provider: Wikidata · Property: P5555 · Direction: outgoing
→ Relationship name unavailable (P2534)\forall X,Y\in\operatorname{ob}\mathcal C \forall f\colon X\to Y \colon \eta_Y\circ F(f) = G(f)\circ\eta_XObserved
Relationship details
Provider: Wikidata · Property: P2534 · Direction: outgoing
→ Relationship name unavailable (P7235)\etaObserved
Relationship details
Provider: Wikidata · Property: P7235 · Direction: outgoing
→ Relationship name unavailable (P1963)definition domainObserved
Relationship details
Provider: Wikidata · Property: P1963 · Direction: outgoing · Entity ID: P1568
→ Relationship name unavailable (P61)Samuel EilenbergObserved
Relationship details
Provider: Wikidata · Property: P61 · Direction: outgoing · Entity ID: Q535833
→ Relationship name unavailable (P61)Saunders Mac LaneObserved
Relationship details
Provider: Wikidata · Property: P61 · Direction: outgoing · Entity ID: Q441223
→ Relationship name unavailable (P6104)WikiProject MathematicsObserved
Relationship details
Provider: Wikidata · Property: P6104 · Direction: outgoing · Entity ID: Q8487137
→ Relationship name unavailable (P1963)codomainObserved
Relationship details
Provider: Wikidata · Property: P1963 · Direction: outgoing · Entity ID: P1571
→ studied by (P2579)category theoryObserved
Relationship details
Provider: Wikidata · Property: P2579 · Direction: outgoing · Entity ID: Q217413
← Relationship name unavailable (P2578)category theoryObserved
Relationship details
Provider: Wikidata · Property: P2578 · Direction: incoming · Entity ID: Q217413

Return to entry