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Separability of embedded surfaces in 3-manifolds

Published online by Cambridge University Press:  27 August 2014

Piotr Przytycki
Affiliation:
Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-956 Warsaw, Poland email pprzytyc@mimuw.edu.pl
Daniel T. Wise
Affiliation:
Department of Mathematics and Statistics, McGill University, Montreal, QC, Canada H3A 0B9 email wise@math.mcgill.ca
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Abstract

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We prove that if $\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le =\leqslant \let \leq =\leqslant \let \ge =\geqslant \let \geq =\geqslant \def \Pr {\mathit {Pr}}\def \Fr {\mathit {Fr}}\def \Rey {\mathit {Re}}S$ is a properly embedded $\pi _1$-injective surface in a compact 3-manifold $M$, then $\pi _1S$ is separable in $\pi _1M$.

Type
Research Article
Copyright
© The Author(s) 2014 

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