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\centerline{\bf Algebraic Topology}
\centerline{Homework 11: Due Wednesday, November 17}      % e.g. September 13
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{\bf Problem 1.} Compute the homology of the Lens space $L(p,q)$.


{\bf Problem 2.} Let $X$ be a 2-holed torus with two disks glued in, exactly as 
in the midterm. Compute the homology of $X$. 

{\bf Problem 3.} Page 172, problem 5.2.

{\bf Problem 4.} Page 172, problem 5.4.

{\bf Problem 5.} Page 175, problem 6.2.

{\bf Problem 6.} Suppose that $A \subset B \subset X$. Show that there is 
a long exact sequence $\to H_k(B,A) \to H_k(X,A) \to H_k(X,B) \to H_{k-1}(B,A) 
\to \cdots$. What are the maps in this sequence? [This sequence is called
the long exact sequence of the triple $(X,B,A)$. When $A$ is the empty set,
it becomes the usual long exact sequence of the pair $(X,B)$.]


\bye
