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The equicontinuous structure relation and extension of continuous equivariant functions

1986
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Rocky Mountain Journal of Mathematics
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In this paper we study injective objects in the category of all compact Hausdorff G-spaces, using methods from topological dynamics. In particular, we consider the question of when the equicontinuous structure relation of a subflow is the restriction of the equicontinuous structure relation of the full flow. Some necessary and sufficient conditions are given, one in terms of almost periodic functions on the flow, and another in terms of injective objects in the category of all compact Hausdorff

doi:10.1216/rmj-1986-16-4-837
fatcat:pvgshxht25gq5iscqh3j2h6r3m