Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4660711 | Topology and its Applications | 2009 | 14 Pages |
Abstract
We give a concrete example of an infinite sequence of (pn,qn)-lens spaces L(pn,qn) with natural triangulations T(pn,qn) with pn tetrahedra such that L(pn,qn) contains a certain non-orientable closed surface which is fundamental with respect to T(pn,qn) and of minimal crosscap number among all closed non-orientable surfaces in L(pn,qn) and has nā2 parallel sheets of normal disks of a quadrilateral type disjoint from the pair of core circles of L(pn,qn). Actually, we can set p0=0, q0=1, pk+1=3pk+2qk and qk+1=pk+qk.
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Mathematics
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