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National Repository of Grey Literature 2 records found  Search took 0.00 seconds. 
Typical continuous and integrable functions
 Hruška, David ; Hencl, Stanislav (advisor) ; Pražák, Dalibor (referee)
In this thesis we use the Baire categories to define the concept of "typical functions". Then we prove several theorems generally asserting that a typical function from a space of functions having some nice property does not have a stronger property. In particular we prove that a typical continuous or Hölder continuous function is nowhere differentiable, a typical continuous monotone function does not satisfy the Luzin (N) condition and a typical integrable function is nowhere continuous. Powered by TCPDF (www.tcpdf.org)
Detailed record
Typical continuous and integrable functions
 Hruška, David ; Hencl, Stanislav (advisor) ; Pražák, Dalibor (referee)
In this thesis we use the Baire categories to define the concept of "typical functions". Then we prove several theorems generally asserting that a typical function from a space of functions having some nice property does not have a stronger property. In particular we prove that a typical continuous or Hölder continuous function is nowhere differentiable, a typical continuous monotone function does not satisfy the Luzin (N) condition and a typical integrable function is nowhere continuous. Powered by TCPDF (www.tcpdf.org)
Detailed record

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