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MR670937 (84b:55001) 55M20 (58E05)
Fadell, E. R.; Husseini, S. Y.; Rabinowitz, P. H. Borsuk-Ulam theorems for arbitrary $S\sp{1}$ actions and applications. Trans. Amer. Math. Soc. 274 (1982), no. 1, 345–360.
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