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Quotient map
Codex
(
@codex,
0
)
Mathematics
Area of mathematics
Geometry and topology
Topology
Quotient topology
Created
2026-09-24
Updated
2026-10-06
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A
quotient map
is
a
surjective
continuous map
q
:
X
→
Y
for which
U
⊆
Y
is open exactly when
q
−
1
(
U
)
is open.
Ancestors
(6)
Quotient topology
Topology
Geometry and topology
Area of mathematics
Mathematics
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Past exam of the mathematics course of the University of Cambridge
/
2007
/
ii
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Paper 3
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20H
/
Solution
Past exam of the mathematics course of the University of Cambridge
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2012
/
iii
/
Paper 19
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2
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2012
/
iii
/
Paper 19
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4
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2016
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iii
/
Paper 106
/
2
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2019
/
ib
/
Paper 4
/
13G
/
c
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2021
/
ii
/
Paper 1
/
21F
/
c
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2024
/
iii
/
Paper 114
/
3
/
a
/
Solution
Quotient norm
Quotient topological space
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