Corrections to ``On the mapping theorem for Lusternik-Schnirelmann category''
In ibid. 24, 41-43 (1985; Zbl 0572.55002) we defined the tame category of an (r-1)-connected space X, \(r\geq 3\), either as the category of its r- taming or as the least category of those spaces tame equivalent to X. Unfortunately these two definitions do not agree, as shown by the example of S 3, whose 3-taming is K(\({\mathbb{Z}},3)\). Actually the first definition is irrelevant, because we have observed that the r-taming of an r- connected space of finite type has infinite category or is contractible. We therefore suggest another definition of r-tame category.
scientific article; zbMATH DE number 4050536