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Weak homotopy equivalence
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Mathematics
Area of mathematics
Geometry and topology
Algebraic topology
Homotopy
Homotopy group
Created
2026-09-28
Updated
2026-10-06
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A
map
is
a
weak homotopy equivalence
when it induces
a
bijection
on
path components
and
isomorphisms
on every
based homotopy
group
.
Ancestors
(7)
Homotopy group
Homotopy
Algebraic topology
Geometry and topology
Area of mathematics
Mathematics
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(9)
Connective generalized homology detects simply connected equivalences
CW approximation
Homological Whitehead theorem
James reduced product
Omega-spectrum
Past exam of the mathematics course of the University of Cambridge
/
2005
/
iii
/
Paper 22
/
1
/
a
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2015
/
iii
/
Paper 19
/
3
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2021
/
iii
/
Paper 127
/
1
/
Solution
Splitting of a simply connected Eilenberg–MacLane fibration
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