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Dec 15, 2023 at 16:20 comment added Mehmet Onat I did'nt understand your comment. As far as I can see, this hypothesis is not used in the proof. I thought this hypothesis was necessary for the Gysin exact sequence. I thought this was related to the orientability of the spherical fiber bundle.
Dec 15, 2023 at 14:53 comment added David Snyder The statement of the Lemma says why that hypothesis is being imposed — the isotropy groups are all finite.
Dec 14, 2023 at 8:38 comment added Mehmet Onat If the orbit map of a circle action is always orientable, then why does the action need to be almost free?
Dec 13, 2023 at 8:55 history answered David Snyder CC BY-SA 4.0