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Is Euler-characteristic of a simplicial complex on $n$ vertices and $f$ facets at most $n^{O(\log f)}$?

(Definition: Facet = Maximal Face) This question is a continuation of the previous one that I had asked a couple of years ago: Is Euler characteristic of a simplicial complex upper bounded by a ...
Raghav Kulkarni's user avatar
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Partial sums of Möbius function and Euler characteristic of a simplicial complex for closed sets of a topology on the prime powers?

In A cell complex in number theory by Anders Björner, 2011 a number theoretic cell complex is described which has the property that the Euler characteristic is related to the Mertens function: $$M(n) =...
mathoverflowUser's user avatar