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Sierpiński space
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Mathematics
Fields of mathematics
Topology
General topology
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1970-01-01
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The
Sierpiński space
is
a
basic example of
a
topological space
in the field of
topology
. It is defined
as
a
set \(
S
= \{
0
,
1
\} \) with
a
topology
consisting of the following
open sets
:
1
. The
empty set
\( \emptyset \)
2
. The set \(
S
\) itself, which is \( \{
0
,
1
\} \)
3
.
Ancestors
(5)
General topology
Topology
Fields of mathematics
Mathematics
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