| 概要 | First we overview known results on local connectivity of
the Julia set of a transcendental entire function. After
that we give a sufficient condition which guarantees that
the Julia set together with the point at infinity is (not
only locally connected but also) a Sierpinski carpet in
the Riemann sphere. We also construct transcendental
entire functions with arbitrary slow growth which satisfy
the sufficient condition by quasiconformal surgery. |