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ThmDex – An index of mathematical definitions, results, and conjectures.
Definitions
,
Results
,
Conjectures
▼
Set of symbols
▼
Alphabet
▼
Deduction system
▼
Theory
▼
Zermelo-Fraenkel set theory
▼
Set
▼
Subset
▼
Power set
▼
Hyperpower set sequence
▼
Hyperpower set
▼
Hypersubset
▼
Subset algebra
▼
Subset structure
▼
Topological space
▼
Closure point
▼
Set closure
▼
Topologically dense set
Definition D99
Separable topological space
Formulation 3
A
D1106: Topological space
T
=
(
X
,
T
)
is a
separable topological space
if and only if there exists a
D11: Set
S
⊆
X
such that
(1)
∀
U
∈
T
(
U
≠
∅
⟹
U
∩
E
≠
∅
)
(2)
S
is a
D16: Countable set