The Ordering of Points on a Curve. Part II
نویسندگان
چکیده
(1) Let P, Q be subsets of E2 T, p1, p2, q1 be points of E2 T, f be a map from I into (E2 T) P, and s1 be a real number. Suppose that P is an arc from p1 to p2 and q1 ∈ P and q1 ∈ Q and f (s1) = q1 and f is a homeomorphism and f (0) = p1 and f (1) = p2 and 0 ≤ s1 and s1 ≤ 1 and for every real number t such that 0 ≤ t and t < s1 holds f (t) / ∈ Q. Let g be a map from I into (E2 T) P and s2 be a real number. Suppose g is a homeomorphism and g(0) = p1 and g(1) = p2 and g(s2) = q1 and 0 ≤ s2 and s2 ≤ 1. Let t be a real number. If 0 ≤ t and t < s2, then g(t) / ∈ Q.
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