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- W3088589610 abstract "We interpret a construction of geometric realisation by [Besser], [Grayson], and [Drinfeld] of a simplicial set as constructing a space of maps from the interval to a simplicial set, in a certain formal sense, reminiscent of the Skorokhod space of semi-continuous functions; in particular, we show the geometric realisation functor factors through an endofunctor of a certain category. Our interpretation clarifies the explanation of [Drinfeld] geometric realization commutes with Cartesian products and why the geometric realization of a simplicial set [...] is equipped with an action of the group of orientation preserving homeomorphisms of the segment [0,1]." @default.
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- W3088589610 date "2020-09-23" @default.
- W3088589610 modified "2023-09-27" @default.
- W3088589610 title "Geometric realisation as the Skorokhod semi-continuous path space endofunctor" @default.
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