Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Algebraic Topology
· Problem 2.1.11
Homology — Allen Hatcher
Mathematics — Topology · homology-induced-maps
Problem
Show that if
A
A
A
is a retract of
X
X
X
then the map
H
n
(
A
)
→
H
n
(
X
)
H_n(A) \to H_n(X)
H
n
(
A
)
→
H
n
(
X
)
induced by the inclusion
A
⊂
X
A \subset X
A
⊂
X
is injective.
Related theory
Poincare Maps And Return Maps
Browse the problem library