About: http://webisa.webdatacommons.org/248579760

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	Since any group is a metric group with the trivial distance $d(g,h)=1-\delta_{gh}$, it seems to me that your question 2 asks whether every ``uncountable'' group embeds into the algebraic ultraproduct of countable groups.
http://www.w3.org/ns/prov#wasQuotedFrom	mathoverflow.net