Wang, Cai-shi; Ding, Chuan-Song An integral involving Thomson’s local systems. (English) Zbl 0802.26004 Real Anal. Exch. 19(1993/94), No. 1, 248-253 (1994). B. S. Thomson [“Real functions” (1985; Zbl 0581.26001)] defined a system of neighbourhoods for his theory of differentiation. The authors used this system to develop an integration of Henstock type and proved that it is equivalent to a descriptive definition using the same system. The theory includes the Henstock integral, the approximately continuous integral of Burkill and the dyadic integral. Reviewer: Lee Peng-Yu (Singapore) Cited in 1 ReviewCited in 4 Documents MSC: 26A39 Denjoy and Perron integrals, other special integrals Keywords:local systems; Burkill integral; Henstock integral; approximately continuous integral; dyadic integral Citations:Zbl 0581.26001 PDFBibTeX XMLCite \textit{C.-s. Wang} and \textit{C.-S. Ding}, Real Anal. Exch. 19, No. 1, 248--253 (1994; Zbl 0802.26004)