The fibre of a pinch map in a model category

dc.contributor.author	Hardie, Keith A.
dc.contributor.author	Witbooi, Peter J.
dc.date.accessioned	2018-01-10T11:25:45Z
dc.date.available	2018-01-10T11:25:45Z
dc.date.issued	2013
dc.description.abstract	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.	en_US
dc.description.accreditation	Web of Science
dc.identifier.citation	Hardie, K.A. & Witbooi, P.J. (2013). The fibre of a pinch map in a model category. Applied Categorical Structures, 21: 867 – 875.	en_US
dc.identifier.issn	0927-2852
dc.identifier.uri	http://dx.doi.org/10.1007/s10485-012-9276-5
dc.identifier.uri	http://hdl.handle.net/10566/3371
dc.language.iso	en	en_US
dc.privacy.showsubmitter	TRUE
dc.publisher	Springer Verlag	en_US
dc.rights	This is the author-version of the article published online at: http://dx.doi.org/10.1007/s10485-012-9276-5
dc.subject	Model category	en_US
dc.subject	Reduced product	en_US
dc.subject	Loop object	en_US
dc.subject	Cube axiom	en_US
dc.title	The fibre of a pinch map in a model category	en_US
dc.type	Article	en_US

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