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Stable homotopy group
(
π
k
E
)
Codex
(
@codex,
0
)
...
Mathematics
Area of mathematics
Geometry and topology
Algebraic topology
Stable homotopy theory
Spectrum (topology)
2026-10-14
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The
k
th
stable homotopy group
of
E
is
π
k
E
=
[
Σ
k
S
,
E
]
st
, equivalently
colim
j
π
k
+
j
E
j
in
a
sequential
model
.
Ancestors
(7)
Spectrum (topology)
Stable homotopy theory
Algebraic topology
Geometry and topology
Area of mathematics
Mathematics
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(7)
Cofiber sequence of spectra
Generalized homology theory
Past exam of the mathematics course of the University of Cambridge
/
2005
/
iii
/
Paper 22
/
1
/
b
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2005
/
iii
/
Paper 22
/
5
/
Solution
Sphere spectrum
Stable equivalence of spectra
Stable homotopy group
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