Timeline for Topology on Set of Prime Filters of a Distributive Lattice
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 30, 2016 at 9:10 | comment | added | Benjamin Steinberg | Jon is using ideals and I am using filters. | |
| Sep 30, 2016 at 7:51 | comment | added | Tomasz Kania | When $I=\{a\}$ is a singleton, accordingo to Jon's notation $D(I)$ would be the set of filters not containing $a$. Or am I missing something? | |
| Feb 28, 2012 at 5:12 | comment | added | Jonathan Beardsley | Oh wow thanks so much! I had not heard of this book, but I will have to check it out. | |
| Feb 28, 2012 at 0:52 | comment | added | Benjamin Steinberg | The continuous lattices and domains book does everything from both viewpoints. | |
| Feb 27, 2012 at 22:56 | comment | added | Jonathan Beardsley | Thankyou. I thus far have found Johnstone's book to be a little short on the basic equivalence of using filters versus using ideals. He seems to prefer ideals, but for my purposes filters are much better. I just wanted to make sure there was a good homeomorphism between Spec(A) and the topology on prime filters that you give so that I can basically use all the theorems for distributive lattices and Boolean algebras without thinking about whether or not I'm dealing with filters or ideals for the most part. | |
| Feb 27, 2012 at 21:09 | history | answered | Benjamin Steinberg | CC BY-SA 3.0 |