A Decomposition of a Simple Closed Curves and the Order of Their Points
نویسندگان
چکیده
For simplicity, we use the following convention: a, b, c, s, r are real numbers, n is a natural number, p, q are points of E2 T , and P is a subset of the carrier of E2 T . The following propositions are true: (1) If a = a+b 2 , then a = b. (2) If r ¬ s, then r ¬ r+s 2 and r+s 2 ¬ s. (3) Let T1 be a non empty topological space, P be a subset of the carrier of T1, A be a subset of the carrier of T1↾P, and B be a subset of the carrier of T1. If B is closed and A = B ∩ P, then A is closed.
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