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Miklós Schweitzer
2006 Miklós Schweitzer
1
1
Part of
2006 Miklós Schweitzer
Problems
(1)
topology
Source: miklos schweitzer 2006 q1
8/31/2021
Prove that if X is a compact
T
2
T_2
T
2
space, and X has density d(X), then
X
3
X^3
X
3
contains a discrete subspace of cardinality
d
(
X
)
d(X)
d
(
X
)
. note:
d
(
X
)
d(X)
d
(
X
)
is the smallest cardinality of a dense subspace of X.
topology
Density
cardinal function