For two classes of non-CW spaces with countable fundamental group, the canonical map from singular homology with real coefficients to measure homology is injective in degrees at least 2.
Integration. II. Chapters 7-9
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On measure homology of mildly wild spaces
For two classes of non-CW spaces with countable fundamental group, the canonical map from singular homology with real coefficients to measure homology is injective in degrees at least 2.