Timeline for Terminology question in group actions
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 10, 2021 at 8:55 | history | edited | alvarezpaiva | CC BY-SA 4.0 |
added 353 characters in body
|
| Apr 30, 2021 at 18:18 | comment | added | alvarezpaiva | @DavidHandelman, I checked and the term is quite used in computer science (look for "hitting set problem"), but the meaning is a bit different. In their terminology I am looking for sets such that every one of their open neighborhoods is a hitting set for the set of group orbits (plus being minimal). | |
| Apr 29, 2021 at 16:47 | comment | added | David Handelman | In the study of single homeomorphisms on a Cantor set, that is ${\bf Z}$-actions, a closed set satisfying property 1 is known as a hitting set. So minimal hitting set. It is possible to construct a minimal hitting set that hits every orbit at most once; this is called a basic set (although this is not completely standard). | |
| Apr 29, 2021 at 16:10 | comment | added | alvarezpaiva | Not necessarily. If you have an ergodic flow then every point will satisfy the condition, but there is more than just one orbit. | |
| Apr 29, 2021 at 16:05 | history | edited | alvarezpaiva | CC BY-SA 4.0 |
added 4 characters in body
|
| Apr 29, 2021 at 14:48 | comment | added | მამუკა ჯიბლაძე | If $X$ is good enough, will not minimality force that $K$ contains a single point from each orbit? | |
| Apr 29, 2021 at 14:16 | comment | added | LSpice | The 'any' in 1. means 'every', right? | |
| Apr 29, 2021 at 14:01 | history | asked | alvarezpaiva | CC BY-SA 4.0 |