Timeline for Objects whose morphisms are Lipschitz maps
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Jan 20, 2019 at 18:27 | comment | added | YCor | To be complete: a local metric on a topological space is defined as the data of an open covering $(U_i)$, a metric $d_i$ on each $U_i$, such that the identity map $(U_i\cap U_j,d_i)\to (U_i\cap U_j,d_j)$ is Lipschitz for each $i$. There is a natural equivalence of local metrics (local bilipschitz equivalence). A locally metric space is defined there as a topological space endowed with an equivalence class of local metrics. Of course it's important to emphasize "local" since many people are interested in global or even large-scale aspects of Lipschitz geometry. | |
| Jan 20, 2019 at 18:21 | comment | added | YCor | Link to paper: acadsci.fi/mathematica/Vol03/vol03pp085-122.pdf | |
| Jan 20, 2019 at 13:19 | vote | accept | Benoit Jubin | ||
| Jan 20, 2019 at 13:18 | history | answered | Benoit Jubin | CC BY-SA 4.0 |