Sentence:  A property "P" that refers to members of a set "Y" is a <WSD>"generic property</WSD>" if the subset of "Y" whose members exhibit property "P" contains a dense open subset of "Y". / "Remark": If "P"<sub>1</sub> and "P"<sub>2</sub> are <WSD>generic properties</WSD> of a set "Y", then so is the property ""P"<sub>1</sub> and "P"<sub>2</sub>." 
Meaning of the word marked with <WSD> tags:  A property that is true in some dense open subset of a given set.