Abstract
We extend Sharkovsky's Theorem to several new classes of spaces,which include some well-known examples of non-locally connectedcontinua, such as the topologist's sine curve and the Warsaw circle.In some of these examples the theorem applies directly (with thesame ordering), and in other examples the theorem requires analtered partial ordering on the integers. In the latter case, wedescribe all possible sets of periods for functions on such spaces,which are based on multiples of Sharkovsky's order.
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