New Foundations for Geometry: Two Non-Additive Languages for Arithmetical Geometry |
|
| Author:
| M., Shai |
| Series title: | Memoirs of the American Mathematical Society Ser. |
| ISBN: | 978-1-4704-2312-4 |
| Publication Date: | Apr 2017 |
| Publisher: | American Mathematical Society
|
| Book Format: | Paperback |
| List Price: | AUD $106.00 |
Book Description:
|
Presents two simple generalizations of commutative rings. They form (co)-complete categories, that contain commutative (semi-) rings. But they also contains the ""integers"" (and ), and the ""residue fields"" (and ), of the real (and complex) numbers. Here is the collection of unit balls, and is the collection of spheres augmented with a. The initial object is ""the field with one element"".
Presents two simple generalizations of commutative rings. They form (co)-complete categories, that contain commutative (semi-) rings. But they also contains the ""integers"" (and ), and the ""residue fields"" (and ), of the real (and complex) numbers. Here is the collection of unit balls, and is the collection of spheres augmented with a. The initial object is ""the field with one element"".