Characteristic Types of Convergence for Certain Classes of Darboux-Baire 1 Functions
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Characterizations of Connected Real Functions.
B.D. Garrett, D. Nelms (1971/1972)
Jahresbericht der Deutschen Mathematiker-Vereinigung
Characterizations of real functions by continua
M. Miller (1976)
Fundamenta Mathematicae
Characterizations of -stratifiable spaces
Kedian Li (2009)
Matematički Vesnik
Classes of Weighted Symmetric Functions
Tan Cao Tran (1989)
Publications de l'Institut Mathématique
Composition of functions.
Muthuvel, Kandasamy (2000)
International Journal of Mathematics and Mathematical Sciences
Cones of Lower Semicontinuous Functions and a Characterisation of Finely Hyperharmonic Functions.
Terry J. Lyons (1982)
Mathematische Annalen
Connected simple graphs and a selection problem
F. Burton Jones (1975)
Czechoslovak Mathematical Journal
Connectivity of diagonal products of Baire one functions
Aleksander Maliszewski (1994)
Fundamenta Mathematicae
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
Harvey Rosen (1975)
Fundamenta Mathematicae
Continuous-, derivative-, and differentiable-restrictions of measurable functions
Jack Brown (1992)
Fundamenta Mathematicae
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.
Darji, Udayan B. (1996)
Journal of Applied Analysis
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