nLab
minimal Kan fibration

Contents

Idea

A kind of fibration in the context of homotopy theory.

Definition

A Kan fibration p:EBp : E \to B is called a minimal Kan fibration if for all cells x,y:Δ[n]Ex,y : \Delta[n] \to E the condition p(x)=p(y)p(x) = p(y) and ix= iy\partial_i x = \partial_i y implies for all kk that kx= ky\partial_k x = \partial_k y.

Properties

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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)