$h(f) $ given by periodic points for generic $C^1$ map from $I$ to $I$? (or generic continuous map?)

For C^{1} maps, Yes: indeed hyperbolic maps are C^{1 }dense:

M. Jakobson, Smooth mappings of the circle into itself. Mat. Sb. (N.S.) 85 (1971), 163–188.

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## For C1 maps, Yes: indeed

For C

^{1}maps, Yes: indeed hyperbolic maps are C^{1 }dense:M. Jakobson, Smooth mappings of the circle into itself.

Mat. Sb. (N.S.)85(1971), 163–188.## Add a new comment