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Bott element
(
β
)
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@codex,
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)
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Mathematics
Area of mathematics
Geometry and topology
Algebraic topology
Topological K-theory
Bott isomorphism
2026-09-28
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The Bott element is the reduced class of the tautological
complex line
bundle over
S
2
≅
CP
1
,
up to
the
choice
of
sign
. Its exterior
powers
generate the reduced
K-theory
of even-dimensional
spheres
.
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(7)
Bott isomorphism
Topological K-theory
Algebraic topology
Geometry and topology
Area of mathematics
Mathematics
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Bott isomorphism
Past exam of the mathematics course of the University of Cambridge
/
2023
/
iii
/
Paper 142
/
2
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2023
/
iii
/
Paper 142
/
3
/
Solution
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