9 citations · 19 across the 12 of their papers we have counts for
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math.CO2015★ 1 cited
Discrete Euler integration over functions on finite categories
Kohei Tanaka
This paper provides the theory of integration with respect to Euler characteristics of finite categories. As an application, we use sensors to enumerate the targets lying on a pose…
math.CT2015★ 1 cited
Čech complexes for covers of small categories
Kohei Tanaka
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 p…