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math.AT2001
Directed homotopy theory, I. The fundamental category
Marco Grandis
Directed Algebraic Topology is beginning to emerge from various applications. The basic structure we shall use for such a theory, a 'd-space', is a topological space equipped with…
math.CT2001
On the monad of proper factorisation systems in categories
Marco Grandis
It is known that factorisation systems in categories can be viewed as unitary pseudo algebras for the "squaring" monad in Cat. We show in this note that an analogous fact holds for…