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Connected $Gδ$ functions of arbitrarily high Borel class

In: Tatra Mountains Mathematical Publications, vol. 35, no. 1
Piotr Szuca
Detaily:
Rok, strany: 2007, 41 - 45
Kľúčové slová:
$Cal I$-derivative, direction, strongly $Cal I$-derivative
O článku:
The class of real functions with connected $G_delta$ graph has some nice properties. For example, it is known that Sharkovski?ui?'s ordering of periods holds in this family of functions. We modify the example of function constructed by [J.~Jastrz{og{e}}bski: {it An answer to a question of R. G.~Gibson and F.~Roush}, Real Anal. Exchange {f{15}} (1989--1990), 340--341] to show that there are connected $G_delta$ functions of arbitrary high Borel class.
Ako citovať:
ISO 690:
Szuca, P. 2007. Connected $Gδ$ functions of arbitrarily high Borel class. In Tatra Mountains Mathematical Publications, vol. 35, no.1, pp. 41-45. 1210-3195.

APA:
Szuca, P. (2007). Connected $Gδ$ functions of arbitrarily high Borel class. Tatra Mountains Mathematical Publications, 35(1), 41-45. 1210-3195.