# $S^2$-bundles over 2-orbifolds

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Let $M$ be a closed 4-manifold with $\pi 2(M)\cong{Z}$. Then $M$ is homotopy equivalent to either $CP^2$, or the total space of an orbifold bundle with general fibre $S^2$ over a 2-orbifold $B$, or the total space of an $RP^2$-bundle over an aspherical surface. If $\pi=\pi 1(M) ot=1$ there are at most two such bundle spaces with giv

Author: Jonathan A. Hillman

Source: https://archive.org/