Abstract
This paper concerns 3-manifolds X obtained by Dehn surgery on a knot in S 3, in particular those which contain embedded projective planes. Either, they are homeomorphic to the 3-real projeclive space ℝ P 3, or they are reducible. Let p be the number of intersections of a projective plane in X with the core of the solid torus added during surgery. We prove here that either X is reducible or p is bigger than or equal to five. Consequently, if X is homeomorphic to ℝ P 3 then all its projective planes are pierced at least in five points by the core of the surgery. This result is considered as a step towards showing that ℝ P 3 cannot be obtained by a Dehn surgery along a knot in S 3.
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