nLab
minimal Kan fibration

Idea

A kind of fibration in the context of homotopy theory.

Definition

A Kan fibration $p:E\to B$ is called a minimal Kan fibration if for all cells $x,y:\Delta [n]\to E$ the condition $p(x)=p(y)$ and ${\partial }_{i}x={\partial }_{i}y$ implies for all $k$ that ${\partial }_{k}x={\partial }_{k}y$.

Properties

(…)

Related concepts

• minimal Joyal fibration

References

A useful (if old) survey article which contains a summary of early results on these is:

• E. Curtis, Simplicial Homotopy Theory, Advances in Math., 6, (1971), 107 – 209.