@Article{Wójtowicz2015,
author = "Wójtowicz, Marek and Sieg, Waldemar",
title = "Affine extensions of functions with a closed graph",
journal = "Opuscula Math.",
year = "2015",
volume = "35",
number = "6",
pages = "973--978",
doi = "http://dx.doi.org/10.7494/OpMath.2015.35.6.973",
url = "http://dx.doi.org/10.7494/OpMath.2015.35.6.973",
abstract = "Let \(A\) be a closed \(G_{\delta}\)-subset of a normal space \(X\). We prove that every function \(f_0: A\to\mathbb{R}\) with a closed graph can be extended to a function \(f: X\to\mathbb{R}\) with a closed graph, too. This is a consequence of a more general result which gives an affine and constructive method of obtaining such extensions.",
keywords = "real-valued functions with a closed graph, points of discontinuity, affine extensions of functions",
issn = "1232-9274"
}