P2-irreducible manifold
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In mathematics, a P2-irreducible manifold is a 3-manifold that is irreducible and contains no 2-sided [math]\displaystyle{ \mathbb RP^2 }[/math] (real projective plane). An orientable manifold is P2-irreducible if and only if it is irreducible.[1] Every non-orientable P2-irreducible manifold is a Haken manifold.[2]
References
- ↑ Hazewinkel, Michiel (2001), Encyclopaedia of Mathematics, Supplement III, Volume 13, Springer, p. 183, ISBN 9781556080104, https://books.google.com/books?id=47YC2h295JUC&pg=PA183.
- ↑ Rassias, George M.; Stratopoulos, George (1989), Geometry and Topology, World Scientific, p. 33, ISBN 9789971506780, https://books.google.com/books?id=YeOlzY1xCYIC&pg=PA33.
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