%0 Journal Article %T G-actions with close orbit spaces %A John Harvey %J Mathematics %D 2013 %I arXiv %X The classification of G-spaces by Palais is refined for the case where the orbit space satisfies certain mild topological hypotheses. It is shown that when a sequence of such orbit spaces is "close" to a limit orbit space, in some suitable sense, within a larger ambient orbit space, the G-spaces in the tail of the sequence are strongly equivalent to the limit G-space. %U http://arxiv.org/abs/1312.7846v2