# Contents

## 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 $\partial_k x = \partial_k y$.

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## 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.

Revised on June 21, 2012 23:21:37 by Urs Schreiber (89.204.137.104)