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The Author would like to thank Jesus College, Oxford and University of California, Los Angeles for their support while this was written
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Lyons, T.J. Cones of lower semicontinuous functions and a characterisation of finely hyperharmonic functions. Math. Ann. 261, 293–297 (1982). https://doi.org/10.1007/BF01455450
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DOI: https://doi.org/10.1007/BF01455450