Examples of Ricci limit spaces with non-integer Hausdorff dimension

نویسندگان

چکیده

We give the first examples of collapsing Ricci limit spaces on which Hausdorff dimension singular set exceeds that regular set; moreover, these can be non-integers. This answers a question Cheeger-Colding about spaces.

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ژورنال

عنوان ژورنال: Geometric and Functional Analysis

سال: 2022

ISSN: ['1420-8970', '1016-443X']

DOI: https://doi.org/10.1007/s00039-022-00598-4