The Simplicial Complex Representation of The Cech Cohomology
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Abstract
In this paper, based on the knowledge of the Cech cohomology and the definition of the Cech cohomology by various scholars, from the perspective of algebra, the simplicial method is used to discuss the Cech cohomology of topological space. By constructing the functor, the simplicial complex representation of the Cech cohomology is given, and it is proved that Cech complex is a special type of simplicial complex, so the Cech cohomology is the simplicial cohomology.
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