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The coherent homotopy category over a fixed space is a category of fractions

✍ Scribed by K.A. Hardie; K.H. Kamps; T. Porter

Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
805 KB
Volume
40
Category
Article
ISSN
0166-8641

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πŸ“œ SIMILAR VOLUMES

The spectrum of a locally coherent categ
The spectrum of a locally coherent category
✍ Henning Krause πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 882 KB

A topology on the spectrum of a locally coherent Grothendieck category is introduced. The closed subsets are related to certain localizing subcategories which are characterized in terms of Serre subcategories of the full subcategory of finitely presented objects.

The Toda bracket in the homotopy categor
The Toda bracket in the homotopy category of a track bicategory
✍ K.A. Hardie; K.H. Kamps; H.J. Marcum πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 235 KB

We show that the tertiary homotopy composition operation (quaternary Toda bracket) can, with the advantage of reduced indeterminacy, be replaced by a triple Toda bracket in a bicategory with zeros and invertible 2-morphisms. We deΓΏne the bracket via a pasting operation in such a category, recovering