In my work with topological manifolds, i am using results from the following paper
COUNTING TOPOLOGICAL MANIFOLDS, J. Cheeger and J. M. Kister, Topology Vol. 9 pp149-151, 1970
This article uses the main result (Theorem 5.1, i believe) from the following article of Kirby and Edwards
Deformations of spaces of imbeddings, Ann. of Math. 2nd series, vol. 93, no. 1 pp63-88, 1971.
My supervisor has told me that sometimes for one reason or other, there can be some restrictions in the results that did not make it in the paper, but the experts do know about these restrictions.
I would like to know if someone knows about dimensional restrictions in the results of the above papers, specifically, dimensional restrictions. Using the first paper, i can derive results that are know to be false, at least in dimension 4 for topological manifolds (simplicial triangulation)
Does someone know if the above papers have some reestrictions on dimension that are not listed in the papers ??