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Scott continuity
In
mathematics
, given two
partially ordered sets
P
and
Q
, a
function
between them is
Scott-continuous
(named after the mathematician
Dana Scott
) if it
preserves
all directed suprema, i.e. if for every
directed subset
D
of
P
with
supremum
in
P
its
image
has a supremum in
Q
, and that supremum is the image of the supremum of
D
: .
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