| Autor: |
Babenko, Ivan, Sabourau, Stéphane |
| Předmět: |
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| Zdroj: |
Journal of the European Mathematical Society (EMS Publishing); 2024, Vol. 26 Issue 11, p4393-4439, 47p |
| Abstrakt: |
We introduce the volume entropy semi-norm and the systolic volume semi-norm in real homology and show that they satisfy functorial properties similar to the ones of the simplicial volume. Along the way, we also establish a roughly optimal upper bound on the systolic volume of the multiples of any homology class. Finally, we prove that the volume entropy semi-norm, the systolic volume semi-norm and the simplicial volume semi-norm are equivalent in every dimension. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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