v{C}ech complexes for covers of small categories
classification
🧮 math.CT
math.AT
keywords
categoriescoverssmallanalogueapplycategorycharacteristiccombinatorial
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We present a combinatorial analogue of the nerve theorem for covers of small categories, using the Grothendieck construction. We apply our result to prove the inclusion-exclusion principle for the Euler characteristic of a finite category.
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