Algebra question in algebraic topology

  • Thread starter quasar987
  • Start date
  • #1
quasar987
Science Advisor
Homework Helper
Gold Member
4,780
12
In Hatcher, p. 262 (http://www.math.cornell.edu/~hatcher/AT/ATch3.4.pdf), he writes, just before Lemma 3A.1, "the next lemma shows that this cokernel is just [itex]H_n(C)\otimes G[/itex]. I can't say that I see how this follows.

Thanks!
 

Answers and Replies

  • #2
quasar987
Science Advisor
Homework Helper
Gold Member
4,780
12
Ok I see it now. It just comes from tensoring the exact sequence B_n-->Z_n-->H_n-->0.
 

Related Threads on Algebra question in algebraic topology

Replies
1
Views
1K
  • Last Post
Replies
4
Views
3K
  • Last Post
Replies
0
Views
1K
  • Last Post
Replies
3
Views
7K
Replies
2
Views
12K
Replies
1
Views
4K
Replies
1
Views
3K
Top