2025/04/12 by Martínez-Celis, Arturo, Morawski, Adam
#03E17 #03E35 #03E75 (Secondary) #46B26 (Primary) 46B50 #FOS: Mathematics #Functional Analysis (math.FA)
paper · doi:10.48550/arxiv.2504.09351
A compact space K is Radon-Nikodým if there is a lower semi-continuous metric fragmenting K. In this note, we show that, under \diamondsuit (nonM), there is a Radon-Nikodým compact space of weight ℵ1 with a continuous image that is not Radon-Nikodým, which partially answers a question posed in arXiv:1112.4152 [math.FA].