Geodesic
Kurzweil’s PU integral as the Lebesgue integral
Mathematica Bohemica, Tome 131 (2006) no. 1, pp. 11-14

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MR Zbl
For a merely continuous partition of unity the PU integral is the Lebesgue integral.
For a merely continuous partition of unity the PU integral is the Lebesgue integral.
DOI : 10.21136/MB.2006.134077
Classification : 26A39, 26A42, 28A99
Keywords: Kurzweil’s PU integral; Lebesgue integral; McShane integral 
Výborný, Rudolf. Kurzweil’s PU integral as the Lebesgue integral. Mathematica Bohemica, Tome 131 (2006) no. 1, pp. 11-14. doi: 10.21136/MB.2006.134077
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[1] Russel A. Gordon: The Integrals of Lebesgue, Denjoy, Perron, and Henstock. American Mathematical Society, 1994. | MR

[2] J. Kurzweil, J. Jarník: A non absolutely convergent integral which admits transformation and can be used on manifolds. Czechoslovak Math. J. 35 (1985), 116–139. | MR

[3] J. Kurzweil, J. Jarník: A new and more powerful concept of the PU integral. Czechoslovak Math. J. 38 (1988), 8–48. | MR

[4] J. Kurzweil, J. Mawhin, W. Pfeffer: An integral defined by approximating BV partitions of unity. Czechoslovak Math. J. 41 (1991), 695–712. | MR

[5] Lee, Peng Yee, Rudolf Výborný: The Integral: An Easy Approach after Kurzweil and Henstock. Cambridge University Press, Cambridge, UK, 2000. | MR

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