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Simplicial Perturbation Techniques and Effective Homology

机译:简单摄动技术与有效同源性

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摘要

In this paper, we deal with the problem of the computation of the homology of a finite simplicial complex after an "elementary simplicial perturbation" process such as the inclusion or elimination of a maximal simplex or an edge contraction. To this aim we compute an algebraic topological model that is a special chain homotopy equivalence connecting the simplicial complex with its homology (working with a field as the ground ring).
机译:在本文中,我们处理了在“基本单纯形扰动”过程(例如包含或消除最大单纯形或边收缩)之后有限单纯形复杂性的同源性计算问题。为此,我们计算了一个代数拓扑模型,该模型是一种特殊的链同伦等价关系,该等价等价关系连接了简单复合体及其同源性(以场作为接地环)。

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