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Simplicial set
In
mathematics
, a
simplicial set
is a construction in
categorical
homotopy theory
that is a pure algebraic model of the notion of a "
well-behaved
"
topological space
. Historically, this model arose from earlier work in
combinatorial topology
and in particular from the notion of
simplicial complexes
. Simplicial sets are used to define
quasi-categories
, a basic notion of
higher category theory
.
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