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arXiv · 2206.12804

On the Euler-Poincaré characteristics of a simply connected rationally elliptic CW-complex

Mahmoud Benkhalifa
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Abstract

For a simply connected rationally elliptic CW-complex $X$, we show that the cohomology and the homotopy Euler-Poincaré characteristics are related to two new numerical invariants namely $η_{X}$ and $ρ_{X}$ which we define using the Whitehead exact sequences of the Quillen and the Sullivan models of $X$.

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Mahmoud Benkhalifa. 2022-06-26. On the Euler-Poincaré characteristics of a simply connected rationally elliptic CW-complex. https://arxiv.org/abs/2206.12804

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