  We use arguments based on Derrick's theorem to show that the property of
collapse which is the key feature of global texture appears in several field
theory models with broken global O(N) symmetry. Such models do not necessarily
have nontrivial third homotopy group of the vacuum manifold but may give rise
to collapsing global field configurations with properties similar to textures.
It is verified that configurations with planar and cylindrical geometries do
not collapse. The existence of critical parameters for collapse of spherically
symmetric global field configurations is verified both analytically and
numerically.
