| 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.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.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.language.iso | en | en_US |
| 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 |
| dc.privacy.showsubmitter | TRUE | |
| dc.description.accreditation | Web of Science | |
