Geodesic
On Weak Vitali Covering Properties
Canadian mathematical bulletin, Tome 21 (1978) no. 3, pp. 339-345

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There are now a number of Vitali covering properties which have been defined to handle problems arising in differentiation theory. Although some of these have received a unified treatment, as for example in the setting of Orlicz spaces in [1, p. 168], the underlying simplicity can be lost and the intimate connection with the original weak Vitali covering property of de Possel obscured. In this note we present an exposition of a family of covering properties and show how the original methods of de Possel in [4] can be pushed to provide an exact solution of the problem of determining necessary and sufficient covering properties for a basis which is known to differentiate a given class of integrals. 
Thomson, B. S. On Weak Vitali Covering Properties. Canadian mathematical bulletin, Tome 21 (1978) no. 3, pp. 339-345. doi: 10.4153/CMB-1978-059-2
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     title = {On {Weak} {Vitali} {Covering} {Properties}},
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