Browsing by Author "Hardie, Keith A."

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    The fibre of a pinch map in a model category
    (Springer Verlag, 2013) Hardie, Keith A.; Witbooi, Peter J.
    In the category of pointed topological spaces, let F be the homotopy fibre of the pinching map X ∪ CA → X ∪ CA/ X from the mapping cone on a cofibration A → X onto the suspension of A. Gray (Proc Lond Math Soc (3) 26:497–520, 1973) proved that F is weakly homotopy equivalent to the reduced product (X, A)∞. In this paper we prove an analogue of this phenomenon in a model category, under suitable conditions including a cube axiom.