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Showing 2020 · math.DGShow all
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math.DG2020★ 5 cited
A systolic inequality with remainder in the real projective plane
Mikhail G. Katz, Tahl Nowik
The first paper in systolic geometry was published by Loewner's student P. M. Pu over half a century ago. Pu proved an inequality relating the systole and the area of an arbitrary…
math.DG2020
Metric completions, the Heine-Borel property, and approachability
Vladimir Kanovei, Mikhail G. Katz, Tahl Nowik
We show that the metric universal cover of a plane with a puncture yields an example of a nonstandard hull properly containing the metric completion of a metric space. As mentioned…