# Hatcher 2.1.26

Hatcher, Algebraic Topology, Chapter 2, Section 1

26. Show that $H_1(X,A)$ is not isomorphic to $\widetilde{H}_1(X/A)$ if $X=[0,1]$ and $A$ is the sequence $1, \frac{1}{2}, \frac{1}{3},\ldots,$ together with 0. [See example 1.25.]
Proof.

$\square$