About: http://webisa.webdatacommons.org/23990998

Property	Value
http://www.w3.org/1999/02/22-rdf-syntax-ns#type	http://www.w3.org/ns/prov#Entity
http://www.w3.org/ns/prov#value	If the function were a Morse function (in particular, smooth) this would follow from Morse theory???maybe that is enough for your? (Could the level sets not be path connected in your situation?)
http://www.w3.org/ns/prov#wasQuotedFrom	mathoverflow.net