On some Lusternick–Schnirelmann type invariants
收藏DataCite Commons2026-01-23 更新2026-05-07 收录
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http://siba-ese.unisalento.it/index.php/notemat/article/view/32396/26327
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资源简介：
In this paper, we show that the invariant $\mathrm{R}_0(X)$, introduced in [15], coincides with $cat_0(X)$ for any rationally elliptic space $X$. Additionally, we define, for any space $X$ over an arbitrary field $\mathbb{K}$, an ${\it Ext-version}$ homotpy invariant $\mathrm{L}_{\mathbb{K}}(X)$ of the Ginsburg invariant $l_{\mathbb{K}}(X)$. Then, we establish the equality between $\mathrm{L}_{0}(X):=\mathrm{L}_{\mathbb{Q}}(X)$ and $l_0(X)$ in the case where $X$ is rationally elliptic.
提供机构：
University of Salento
创建时间：
2026-01-23
