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Loop-space shift of homotopy groups
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Mathematics
Area of mathematics
Geometry and topology
Algebraic topology
Homotopy
Homotopy group
Created
2026-09-24
Updated
2026-09-24
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For
a
based
space
X
, adjunction gives
π
i
(
Ω
X
)
≅
π
i
+
1
(
X
)
.
(1)
Ancestors
(7)
Homotopy group
Homotopy
Algebraic topology
Geometry and topology
Area of mathematics
Mathematics
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Past exam of the mathematics course of the University of Cambridge
/
2025
/
iii
/
Paper 165
/
3
/
iii
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2025
/
iii
/
Paper 165
/
3
/
iv
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2025
/
iii
/
Paper 165
/
3
/
v
/
Solution
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