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Home
> Spectral space
In
mathematics
, a
topological space
X
is said to be
spectral
if
1)
X
is
compact
and
T
0
;
2) The set
C(X)
of all
compact
-
open
subsets
of
(X,Ω)
is a
sublattice
of Ω and a
base
for the
topology
;
3)
X
is
sober
, that is any
closed
set
F
which is not a
closure
of a singleton {x} is a
union
of two
closed
set
s which differ from
F
.
External link
see 8.3 - Definition 6 and bibliography
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