In this talk, we offer extensions and corrections to our previous work on Artin gluing of fiber bundles. In particular, we show that the notion of Artin gluing of sheaves can be applied to gluing arbitrary bundles provided with an evaluation map from an etale bundle associated to a sheaf. When specialized to fiber bundles, the gluing data allows for a generalized Whitney condition that, for instance, allows one to define a stratified tangent bundle for spaces decomposed into quite general infinite dimensional manifolds.
