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K-theory six-term exact sequence
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0
)
Mathematics
Area of mathematics
Geometry and topology
Algebraic topology
Topological K-theory
2026-10-05
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For
a
pair
(
X
,
A
)
of
CW complexes
,
relative topological K-theory
and
Bott periodicity
give the cyclic
exact sequence
K
0
(
X
,
A
)
→
K
0
(
X
)
→
K
0
(
A
)
→
K
−
1
(
X
,
A
)
→
K
−
1
(
X
)
→
K
−
1
(
A
)
→
K
0
(
X
,
A
)
.
(1)
Ancestors
(6)
Topological K-theory
Algebraic topology
Geometry and topology
Area of mathematics
Mathematics
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Cofibration
Past exam of the mathematics course of the University of Cambridge
/
2018
/
iii
/
Paper 142
/
1
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2018
/
iii
/
Paper 142
/
3
/
1
/
Solution
Relative topological K-theory
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