A Riemann integral in a locally compact Hausdorff space

Journal of the Australian Mathematical Society

S. I. Ahmed¹ 

[1] W. F. Pfeffer

关键词: 28 A 25;    26 A 42;    secondary 54 C 30;    28 C 05;    28 C 15;   

DOI  :  10.1017/S1446788700028123

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

We present a systematic and self-contained exposition of the generalized Riemann integral in a locally compact Hausdorff space, and we show that it is equivalent to the Perron and variational integrals. We also give a necessary and sufficient condition for its equivalence to the Lebesgue integral with respect to a suitably chosen measure.

【 授权许可】

Unknown