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MR1080005 (91j:58028) 58D10 (57Q45 57R42)
Shapiro, B. Z.; Shapiro, M. Z. On the number of connected components in the space of closed nondegenerate curves on $S\sp n$. Bull. Amer. Math. Soc. (N.S.) 25 (1991), no. 1, 75–79.
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