@article{10.14321/realanalexch.41.2.0315,
ISSN = {01471937, 19301219},
URL = {http://www.jstor.org/stable/10.14321/realanalexch.41.2.0315},
abstract = {During the last few decades E. S. Thomas, S. J. Agronsky, J. G. Ceder, and T. L. Pearson gave an equivalent definition of the real Baire class 1 functions by characterizing their graph. In this paper, using their results, we consider the following problem: let T be a given subset of [0, 1] × ℝ. When can we find a function f : [0, 1] → ℝ such that the accumulation points of its graph are exactly the points of T? We show that if such a function exists, we can choose it to be a Baire-2 function. We characterize the accumulation sets of bounded and not necessarily bounded functions separately. We also examine the similar question in the case of Baire-1 functions. Mathematical Reviews subject classification: Primary: 26A21; Secondary: 26A15 Key words: accumulation points, Baire-1 functions, Baire-2 functions},
author = {Balázs Maga},
journal = {Real Analysis Exchange},
number = {2},
pages = {315--330},
publisher = {Michigan State University Press},
title = {Accumulation Points of Graphs of Baire-1 and Baire-2 Functions},
volume = {41},
year = {2016}
}