She was not a contentious person as the Other had been; she did not argue and contradict everything I said.

a nonprescribing therapist

Let it be known that the Rapture portends the End of Days.

Moreover, f∗ admits both a left adjoint f_! and a right adjoint f_∗, given by left and right Kan extension along the map SingY→SingX, respectively. Note that this is left and right Kan extension in the ∞-categorical sense, which amounts to homotopy left and right Kan extension on the level of simplicial categories or model categories.