Abstract: Let f\colon X\to Y be a continuous map such as an open map, a closed map or a quotient map. We study under what circumstances f remains an open, closed or quotient map in forcing extensions.
Keywords: forcing; open map; closed map; quotient map
DOI: DOI 10.14712/1213-7243.2021.029
AMS Subject Classification: 54A35 54C10