Sharkovskiĭ's theorem holds for some discontinuous functions
Piotr Szuca
Fundamenta Mathematicae, Tome 177 (2003), p. 27-41 / Harvested from The Polish Digital Mathematics Library
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We show that the Sharkovskiĭ ordering of periods of a continuous real function is also valid for every function with connected Gδ graph. In particular, it is valid for every DB₁ function and therefore for every derivative. As a tool we apply an Itinerary Lemma for functions with connected Gδ graph.

Publié le : 2003-01-01
EUDML-ID : urn:eudml:doc:283126 
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     title = {Sharkovski\u\i 's theorem holds for some discontinuous functions},
     journal = {Fundamenta Mathematicae},
     volume = {177},
     year = {2003},
     pages = {27-41},
     zbl = {1070.26004},
     language = {en},
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Piotr Szuca. Sharkovskiĭ's theorem holds for some discontinuous functions. Fundamenta Mathematicae, Tome 177 (2003) pp. 27-41. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm179-1-3/