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

Advertisements

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s