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math.CT2013★ 12 cited
The Catalan simplicial set
Mitchell Buckley, Richard Garner, Stephen Lack +1
The Catalan numbers are well-known to be the answer to many different counting problems, and so there are many different families of sets whose cardinalities are the Catalan number…
math.CT2013★ 2 cited
Skew-monoidal categories and the Catalan simplicial set
Mitchell Buckley, Richard Garner, Stephen Lack +1
The basic data for a skew-monoidal category are the same as for a monoidal category, except that the constraint morphisms are no longer required to be invertible. The constraints a…