On the Wu classes of the topological blow up

Mathematics – Algebraic Topology

Scientific paper

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Scientific paper

We mainly discuss the Wu classes $v(M)$ and the Steenrod operation $Sq$ of
the topological blow up $\tilde{M}$. The formula of the Wu class $v(\tilde{M})$
will be given as well as the formula of the Steenrod operation $Sq$. As an
application, we will use our results to describe a geometric obstruction.

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