Categorical cuts

Dyckhoff, 1974, Perfect light maps as inverse limits, Chart. J. Math. Oxford, 25, 441, 10.1093/qmath/25.1.441 Dyckhoff, 1976, Projective resolutions of topological spaces, J. Pure Appl. Algebra, 7, 115, 10.1016/0022-4049(76)90069-4 Gillman, 1960 Heariksen, 1957, Local connectedness in the Stone-Čech compactification, Illinois J. Math., 1, 574, 10.1215/ijm/1255380680 Michael, 1964, Cuts, Acta Math., 111, 1, 10.1007/BF02391006 Pasynkov, 1965, Partial topological products, Trans. Moscow Math. Soc., 13, 153 Sklyarenko, 1961, On perfect bicompact extensions, Soviet Math. Dokl., 2, 238