Algebraic Topology · Problem 2.2.19

Homology — Allen Hatcher

Mathematics — Topology · cellular-homology-computations

Problem

Compute

H_i(\mathbb{RP}^n/\mathbb{RP}^m)

for

m < n

by cellular homology, using the standard CW structure on

\mathbb{RP}^n

with

\mathbb{RP}^m

as its

m

-skeleton.