Timeline for Category Theory and Ergodic Theory
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 24, 2012 at 17:50 | comment | added | Ronnie Brown | Glad that was helpful, and I look forward to reading the review by Calvin Moore. My impression is still that the full algebra of groupoids is not yet fully utilised: for example my book "Topology and groupoids" has a whole chapter on orbit space and orbit groupoids, which has been little utilised. Also having been brought up in homotopy theory I worked really hard to realise applications of double and higher groupoids, see my web page "Higher dimensional group theory". One gasps at the thought of "double ergodic theory"!!! | |
| Jan 23, 2012 at 16:07 | comment | added | Esfan Haghverdi | Many thanks for the reference. I also found a nice review of Mackey's ideas written by Calvin C. Moore called ``Virtual Groups 45 Years Later''. I am perfectly happy working with groupoids, ultimately I wish to bridge the algebra/category theory side where I am comfortable working to additive/arithmetic combinatorics where I wish to work. I think, given the strong Ergodic Theory/Additive Combinatorics link (e.g Furstenberg's work or more recently the work of Bryna Kra, Ergodic methods in additive combinatorics) this might be a most efficient bridge construction. | |
| Jan 23, 2012 at 1:19 | vote | accept | Esfan Haghverdi | ||
| Jan 23, 2012 at 1:20 | |||||
| Jan 22, 2012 at 22:45 | history | answered | Ronnie Brown | CC BY-SA 3.0 |