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Hatcher-Algebraic-Topology
· Problem 2.1.9
Homology
Mathematics — Graph Theory · simplicial-homology-computation
Problem
Compute the homology groups of the
Δ
\Delta
Δ
-complex
X
X
X
obtained from
Δ
n
\Delta^n
Δ
n
by identifying all faces of the same dimension. Thus
X
X
X
has a single
k
k
k
-simplex for each
k
≤
n
k \leq n
k
≤
n
.
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