Mal'cev categories and fibration of pointed objects
β Scribed by Dominique Bourn
- Publisher
- Springer
- Year
- 1996
- Tongue
- English
- Weight
- 891 KB
- Volume
- 4
- Category
- Article
- ISSN
- 0927-2852
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π SIMILAR VOLUMES
We describe a su cient condition on a ΓΏnitely complete and cocomplete lextensive category X, under which the categorical smash product provides a canonical (symmetric, distributive with respect to ΓΏnite coproducts) monoidal structure on the category (1 β X) of its pointed objects. We also show that
Let F ΞΉ β E f B be a fibration, we focus on the relation between the homotopy invariants cat E, cat F and cat B. The general formula due to Hardie says that cat E (cat ΞΉ + 1) β’ (cat f + 1) -1; if the fibration is trivial, this upper bound can be replaced by cat F + cat B. In this paper, we introduce