Uncountably Many Mildly Wild Non-wilder Arcs1
نویسندگان
چکیده
I. The basic example A0 (Figure 1). A regular normed projection of our basic example of a mildly wild non-Wilder arc is shown in Figure 1. (Using the methods of [4], one could easily give a precise description.) (A) Ao is not L.P.U. at p. The invariants of [7] will be used to show that the penetration index PiA0, p) of A0 at p is equal to 4. (For a definition of the penetration index see [l] and [2].) The fundamental group iriiUi— Ao) of the complement of A0 in the 3-cell neighborhood Ui of p is generated by elements an, bn, cn, d, ^n, fn, gn, hn (»^ 0) indicated in the usual way in Figure 1. A set of defining relations is
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