Construction. The cpo of strict continuous functions [dt-003F]
A \mathbin {\circ \hspace{-0.4em}\twoheadrightarrow } B = \{ f \in A \twoheadrightarrow B \mid f(\bot ) = \bot \}
The ordering and lubs are, mutatis mutandis, as with the non-strict Construction [dt-002L].