Kuncová, Kristýna; Malý, Jan Non-absolutely convergent integrals in metric spaces. (English) Zbl 1264.26015 J. Math. Anal. Appl. 401, No. 2, 578-600 (2013). Summary: We develop a theory of Henstock-Kurzweil type integral of functions with respect to metric distributions in the framework of metric spaces. In the setting of metric currents (as originated by E. De Giorgi, L. Ambrosio and B. Kirchheim) we apply the new integral to study a generalization of Stoke’s theorem. Cited in 1 ReviewCited in 5 Documents MSC: 26B20 Integral formulas of real functions of several variables (Stokes, Gauss, Green, etc.) 26A39 Denjoy and Perron integrals, other special integrals 28D20 Entropy and other invariants Keywords:non-absolutely convergent integrals; currents in metric spaces PDFBibTeX XMLCite \textit{K. Kuncová} and \textit{J. Malý}, J. Math. Anal. Appl. 401, No. 2, 578--600 (2013; Zbl 1264.26015) Full Text: DOI