From Wikipedia, the free encyclopedia
In
mathematics, a P2-irreducible manifold is a
3-manifold that is
irreducible and contains no
2-sided
(
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.
-
^ Rassias, George M.; Stratopoulos, George (1989),
Geometry and Topology, World Scientific, p. 33,
ISBN
9789971506780.