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Published online by Cambridge University Press: 20 January 2009
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].