Movability and homotopy, homology pro-groups of Whitney continua
It is known that the property of being pointed \(\ell\)-movable is a Whitney property and the property of being movable is a Whitney property for \(\theta\) (2)-curves. We show that the property of being movable is not a Whitney property. More precisely, there exists a movable curve X and a Whitney map w for C(X) such that for some \(0<t<w(X)\), \(w^{-1}(t)\) is not 2-movable. Also, the first homotopy and homology pro-groups of Whitney continua are investigated.
scientific article; zbMATH DE number 3984088