A modulus-function version of the Lebesgue density theorem is proved, yielding a new density topology and a Banach space of approximately continuous functions.
del C., P´ erez Fern´ andez, F
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A generalization of the Lebesgue density theorem via modulus density
A modulus-function version of the Lebesgue density theorem is proved, yielding a new density topology and a Banach space of approximately continuous functions.