JP Journal of Geometry and Topology
Volume 2, Issue 2, Pages 149 - 164
(July 2002)
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CONTINUITY OF ROTATION MAPS
S. K. Yang (Korea), J. S. Bae (Korea) and K. J. Min (Korea)
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be
the set of continuous degree one maps from the circle
into itself, and let
be
the rotation number of f at z
for
and
The
purpose of this paper is to investigate various conditions under which the map
is
continuous. And finally we obtain that the map
is
continuous on
where
is
the rotation set of f.