首页> 外文期刊>Journal of Combinatorial Theory, Series B >DIAGONAL FLIPS OF TRIANGULATIONS ON CLOSED SURFACES PRESERVING SPECIFIED PROPERTIES
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DIAGONAL FLIPS OF TRIANGULATIONS ON CLOSED SURFACES PRESERVING SPECIFIED PROPERTIES

机译:在封闭表面上保持指定属性的三角形的对角线翻转

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摘要

Consider a class P of triangulations on a closed surface F-2, closed under vertex splitting. We shall show that any two triangulations with the same and sufficiently large number of vertices which belong to P can be transformed into each other, up to homeomorphism, by a finite sequence of diagonal nips through P. Moreover, if P is closed under homeomorphism, then the condition ''up to homeomorphism'' can be replaced with ''up to isotopy.'' (C) 1996 Academic Press, Inc. [References: 18]
机译:在封闭表面F-2上考虑三角形的三角形,在顶点分裂下关闭。 我们将表明,属于P的具有相同且足够大量的顶点的任何两个三角形可以通过P的有限序列通过P的有限序列彼此转化为同源术。此外,如果P在同源术下闭合,则 然后,“最高致正常”的条件可以被“达到同位数”所取代。'(c)1996年学术出版社,Inc。[参考文献:18]

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