The interplay between Riemann integrability and continuity is an interesting topic of modern analysis. In this paper, Riemann integrability of vector-valued continuous functions, property of Lebesgue and weak property of Lebesgue are surveyed and discussed. We also prove that  has the property of Lebesgue.
 has the property of Lebesgue.
Riemann intergability versus continuity for vector-valued functions
Lone, Nisar A. and Chishti, T. A.
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| Author(s) | Lone, Nisar A. , Chishti, T. A. | 
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