Climbing shoes, specially the boulder ones.
They grip like crazy and are slick. You can walk a 70 degrees flat rock without slipping, easily.
Problem is that very soft sole will wear quick, so the general shoes are a harder material and a tread to help the grip, instead of relying only on expensive soft rubber (soft rubber that wears little like Vibram does cost a bit)
Also, on wet metal surface (grates on the sidewalk) slick shoes will slip no matter the rubber quality.
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