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An affine scheme is quasi-compact. In fact, a scheme is quasi-compact if and only if it is a finite union of open affine subschemes. Serre’s criterion gives a necessary and sufficient condition for a quasi-compact scheme to be affine. A quasi-compact scheme has at least one closed point.
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relate not to morphisms but to schemes. They either might be better placed in a new article "quasi-compact schemes" or as part of
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Knowledge (XXG). If you would like to participate, please visit the project page, where you can join
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The section or sections that need attention may be noted in a message below.
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