Characteristic Types of Convergence for Certain Classes of Darboux-Baire 1 Functions
Characterizations of Connected Real Functions.
Characterizations of real functions by continua
Characterizations of -stratifiable spaces
Classes of Weighted Symmetric Functions
Composition of functions.
Cones of Lower Semicontinuous Functions and a Characterisation of Finely Hyperharmonic Functions.
Connected simple graphs and a selection problem
Connectivity of diagonal products of Baire one functions
We characterize those Baire one functions f for which the diagonal product x → (f(x), g(x)) has a connected graph whenever g is approximately continuous or is a derivative.
Connectivity points and Darboux points of real functions
Continuous-, derivative-, and differentiable-restrictions of measurable functions
We review the known facts and establish some new results concerning continuous-restrictions, derivative-restrictions, and differentiable-restrictions of Lebesgue measurable, universally measurable, and Marczewski measurable functions, as well as functions which have the Baire properties in the wide and restricted senses. We also discuss some known examples and present a number of new examples to show that the theorems are sharp.
Countable decomposition of derivatives and Baire 1 functions.