On the Decompositions of Intervals and Simple Closed Curves 1

Abstract

The aim of the paper is to show that the only subcontinua of the Jordan curve are arcs, the whole curve, and singletons of its points. Additionally, it has been shown that the only subcontinua of the unit interval I are closed intervals. [9] provide the notation and terminology for this paper. 1. PRELIMINARIES One can check that every simple closed curve is… (More)

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