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Jun 13 at 1:05 comment added David Roberts @LSpice a suitably invariant family of measures on the source fibres $s^{-1}(x)$ (say) of a suitable topological groupoid (for all $x$ in the space of objects), or more generally something like a groupoid internal to measurable spaces.
Jun 12 at 20:57 answer added Madalina Buneci timeline score: 1
Jun 7 at 23:30 comment added Benjamin Steinberg @LSpice, Haar systems are the groupoid analogues of Haar measure. They are not automatic and when they exist the range map is open
Jun 7 at 23:29 comment added Benjamin Steinberg Presumably you want to eliminate silly cases like when the isotropy subgroupoid is open eg for discrete groupoids or groupoids with only isotropy
Jun 7 at 16:26 history edited YCor CC BY-SA 4.0
formatting, moved question to body
Jun 7 at 13:43 comment added LSpice What is a Haar system?
S Jun 7 at 13:35 review First questions
Jun 7 at 13:49
S Jun 7 at 13:35 history asked K N Sridharan CC BY-SA 4.0