Lemma 26.17.4. Let f : X \to S and g : Y \to S be morphisms of schemes with the same target. Let S = \bigcup U_ i be any affine open covering of S. For each i \in I, let f^{-1}(U_ i) = \bigcup _{j \in J_ i} V_ j be an affine open covering of f^{-1}(U_ i) and let g^{-1}(U_ i) = \bigcup _{k \in K_ i} W_ k be an affine open covering of g^{-1}(U_ i). Then
is an affine open covering of X \times _ S Y.
Comments (1)
Comment #1060 by Charles Rezk on
There are also: