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(Q18786106)
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English
topology
(structure) collection of open subsets of a topological space
topology on a set
topological structure
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Statements
subclass of
set system
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part of
topological space
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defining formula
∅
,
X
∈
T
⋃
i
∈
I
U
i
∈
T
∀
U
i
∈
T
⋂
i
=
1
n
U
i
∈
T
∀
n
∈
N
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∀
U
i
∈
T
{\displaystyle {\begin{aligned}&\emptyset ,\ {\mathcal {X}}\in {\mathcal {T}}\\&\bigcup _{i\in I}U_{i}\in {\mathcal {T}}\quad \forall \,U_{i}\in {\mathcal {T}}\\&\bigcap _{i=1}^{n}U_{i}\in {\mathcal {T}}\quad \forall n\in \mathbb {N} ,\ \forall \,U_{i}\in {\mathcal {T}}\end{aligned}}}
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in defining formula
T
{\displaystyle {\mathcal {T}}}
symbol represents
topology
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U
i
{\displaystyle U_{i}}
symbol represents
open set
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X
{\displaystyle {\mathcal {X}}}
symbol represents
set
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maintained by WikiProject
WikiProject Mathematics
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different from
topology
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Sitelinks
Wikipedia
(2 entries)
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enwiki
Topology (structure)
iawiki
Topologia (structura)
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