Search Results

You are looking at 1 - 4 of 4 items for :

  • "Baire property" x
  • All content x
Clear All

Abstract  

We show that it is consistent with ZFC that the family of functions with the Baire property has the difference property. That is, every function for which f(x + h)-f(x) has the Baire property for every h∈R is of the form f=g + Awhere g has the Baire property and A is additive.

Restricted access

Abstract  

We show that, under some weak regularity conditions, an approximately microperiodic function, mapping a semitopological group into the set of reals, is close to a constant function.

Restricted access

Abstract

The connection between transitivity and existence of a dense orbit for multifunctions in generalized topological spaces is studied. Moreover strongly transitive multifunctions and functions in generalized topological spaces are investigated.

Restricted access

Abstract  

We study sets of points at which ω1 sequences of real functions from a given class F converge. As F we consider continuous functions, first class of Baire, Borel measurable functions, functions with Baire property and Lebesgue measurable functions. Connections of those problem with additional set-theoretic axioms are discussed.

Restricted access