isLocallyIsomorphicTo
P29600
predicate
Indicates that two structures are isomorphic within some local neighborhood or restricted region, even if they may differ globally.
All labels observed (3)
| Label | Occurrences |
|---|---|
| isLocallyIsomorphicTo canonical | 4 |
| locallyIsomorphicTo | 2 |
| isLocalVersionOf | 1 |
Description generation (PDg)
The one-sentence description above was generated by prompting gpt-5.1 with the predicate name and this instruction.
Instruction
Given a predicate that represents a relationship or action between entities, generate a one-sentence description explaining its meaning. # Instructions Focus on describing the relationship, not the entities themselves. # Response Format Begin the description with \' Indicates...\'
Input
Predicate: isLocallyIsomorphicTo
Generated description
Indicates that two structures are isomorphic within some local neighborhood or restricted region, even if they may differ globally.
Sample triples (7)
| Subject | Object |
|---|---|
| Lorentz group | SL(2,C) ⓘ |
| Poincaré lemma | triviality of higher de Rham cohomology on contractible spaces via predicate surface "isLocalVersionOf" ⓘ |
|
SU(2)
linked to:
rotation group SU(2)
|
SO(3)
ⓘ
linked to:
rotation group SO(3)
|
|
SO(4)
linked to:
special orthogonal group SO(n)
|
SU(2) × SU(2) ⓘ |
| Spin(2,d) |
SO(2,d)
ⓘ
linked to:
SO(2,d)_{0}
|
| PSL(2,ℝ) | SO⁺(2,1) via predicate surface "locallyIsomorphicTo" ⓘ |
| PSL(2,ℝ) |
SL(2,ℝ)
via predicate surface "locallyIsomorphicTo"
ⓘ
linked to:
SL(2,R)
|