%0 Journal Article
%T A note on Riemann integrability
%A G. A. Beer
%J International Journal of Mathematics and Mathematical Sciences
%D 1978
%I Hindawi Publishing Corporation
%R 10.1155/s0161171278000095
%X In this note we define Riemann integrabillty for real valued functions defined on a compact metric space accompanied by a finite Borel measure. If the measure of each open ball equals the measure of its corresponding closed ball, then a bounded function is Riemann integrable if and only if its set of points of discontinuity has measure zero.
%K Riemann integrable functions on a compact metric space
%K compact metric space with Borel measure.
%U http://dx.doi.org/10.1155/S0161171278000095