Lebesgue points for Sobolev functions on metric spaces

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On approximate differentiability of the maximal function (2010, background): “Let us also mention that the result of Kinnunen [10] has been applied and generalized by many authors ([2], [3], [6], [7], [8], [11], [12], [14], [15], [16], [17], [18], [20], [21], [25]).”
Pointwise properties of functions of bounded variation in metric spaces (2014, unknown): “The set of non-Lebesgue points of a classical Sobolev function is a set of measure zero with respect the Hausdorff measure of codimension one and this holds true also in metric spaces supporting a doubling measure and a Poincaré inequality, see [11] and [12].”
Lebesgue points and capacities via the boxing inequality in metric spaces (2008, methodology): “When 1 KL ]), but this approach fails as well when p = 1. Instead we apply the boxing inequality, coarea formula and covering arguments in our proof.”
The BV-capacity in metric spaces (2010, background): “Introduction The notion of capacity plays a crucial role in studying the pointwise behaviour of a Sobolev function, see [7, 9, 23, 27] for Euclidean and [18, 19, 4] for more general metric measure spaces.”
ON BOUNDEDNESS OF MAXIMAL FUNCTIONS IN SOBOLEV SPACES (2004, methodology): “The result of Kinnunen has been employed and generalized in [3], [8], [9], [10], [11], [12], [13] and [18].”