The Cubical Cohomology Ring: An Algorithmic Approach
نویسندگان
چکیده
A cohomology ring algorithm in a dimension-independent framework of combinatorial cubical complexes is developed with the aim of applying it to the topological analysis of high-dimensional data. This approach is convenient in the cup-product computation and motivated, among others, by interpreting pixels or voxels in digital images as cubes. The S-complex theory and so called co-reductions are adopted to build a cohomology ring algorithm speeding up the algebraic computations. AMS subject classification: 55-04, 55N35, 55N45, 52B99, 18G35
منابع مشابه
Cubical Cohomology Ring: Algorithmic Approach
A cohomology ring algorithm in a dimension-independent framework of combinatorial cubical complexes is developed with the aim of applying it to the topological analysis of high-dimensional data. This approach is convenient in the cup-product computation and motivated, among others, by interpreting pixels or voxels in digital images as cubes. The S-complex theory and so called co-reductions are ...
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ورودعنوان ژورنال:
- Foundations of Computational Mathematics
دوره 13 شماره
صفحات -
تاریخ انتشار 2013