I am new to simplicial complexes and I am reading a paper on "directed rooted forest in higher dimension" in which in an example it was mentioned that projective plane of dimension 2 contain no two cycle but to my understanding when I looked at the triangulation of it I could form a hollow tetrahedron that is a 2 dimension hole. Can someone explain what mistake I am making?
2026-03-28 11:03:40.1774695820
Why projective plane $\Bbb RP^2$ contains no two cycles?
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