Math 6510 • Differentiable Manifolds

Consider the ``tripod'' \(T\) with the central point \(O\) (i.e. the union of
three segments in the plane which intersect only at the origin \(O\)). Let \(P=(O,O)\) be
the point on \(X=T\times T\) which projects to the point \(O\) in the both factors. Compute
\(H_1(X,X-P;\mathbb{Z})\).

\emph{Diagram description: the tripod \(T\) consists of three line segments meeting at
the central point \(O\): one vertical segment above \(O\), one diagonal segment down and
to the left, and one diagonal segment down and to the right.}