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Stability in pro-homotopy theory
Published online by Cambridge University Press: 20 January 2009
Abstract
If is a category, an object of pro-
is stable if it is isomorphic in pro-
to an object of
. A local condition on such a pro-object, called strong-movability, is defined, and it is shown in various contexts that this condition is equivalent to stability. Also considered, in the case
is a suitable model category, is the stability problem in the homotopy category Ho(pro-
), where pro-
has the induced closed model category structure defined by Edwards and Hastings [6].
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 33 , Issue 3 , October 1990 , pp. 419 - 441
- Copyright
- Copyright © Edinburgh Mathematical Society 1990