Topology (subject)
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Theorems
Topology theorems
v
•
d
•
e
Topology
Overview of the structures studied in
topology
Primitives
topological space
,
open set
,
neighbourhood
Global properties of topological spaces
Compactness
,
Connectedness
(
Path-Connectedness
),
Hausdorff-ness
Local properties of topological spaces
Constructs
product
(see also
box
,
difference between
),
subspace
(
AKA
:
induced
),
quotient
,
disjoint union
,
adjunction
,
cone over a topological space
Subtypes of topological spaces
inner product spaces
[ilmath]\subset[/ilmath]
normed spaces
[ilmath]\subset[/ilmath]
metric spaces
[ilmath]\subset[/ilmath]
topological spaces
Maps between topological spaces
Continuous map
(
AKA
:
topological homomorphism)
,
topological homeomorphism
v
•
d
•
e
Metric spaces
Overview of the basic and important concepts of
metric spaces
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