“Premises liability” is the legal terminology for holding property owners responsible for the safety of their guests. This encompasses slip and falls as well as injuries caused by, among other things, falling objects, dangerous ice- and snow-covered paths, subpar security, and unmarked or unaddressed hazards (e.g. no “Wet Floor” sign on a freshly-mopped floor).
Simply speaking, when danger is present, property managers are required by law to provide a warning and to repair the unsafe condition within a reasonable amount of time.