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arXiv · 1605.02854

On the universal cover and the fundamental group of an $RCD^*(K,N)$-space

Andrea Mondino·Guofang Wei
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Abstract

The main goal of the paper is to prove the existence of the universal cover for $RCD^*(K,N)$-spaces. This generalizes earlier work of C. Sormani and the second named author on the existence of universal covers for Ricci limit spaces. As a result, we also obtain several structure results on the (revised) fundamental group of such spaces. These are the first topological results for $RCD^{*}(K,N)$-spaces without extra structural-topological assumptions (such as semi-local simple connectedness).

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BibTeXRIS

Andrea Mondino, Guofang Wei. 2016-05-10. On the universal cover and the fundamental group of an $RCD^*(K,N)$-space. https://doi.org/10.1515/crelle-2016-0068

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