Universally flexible loop
This article defines a property that can be evaluated for a loop.
View other properties of loops
Definition
A loop is termed a universally flexible loop if every loop that is isotopic to it is a flexible loop.
Relation with other properties
Stronger properties
| Property | Meaning | Proof of implication | Proof of strictness (reverse implication failure) | Intermediate notions |
|---|---|---|---|---|
| Group | group implies universally flexible | |FULL LIST, MORE INFO | ||
| Flexible G-loop | |FULL LIST, MORE INFO |
Weaker properties
| Property | Meaning | Proof of implication | Proof of strictness (reverse implication failure) | Intermediate notions |
|---|---|---|---|---|
| Flexible loop |