Fiore, M. and Leinster, T. (2005) Objects of categories as complex numbers. Advances in Mathematics, 190(2), pp. 264-277. (doi: 10.1016/j.aim.2004.01.002)
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Abstract
In many everyday categories (sets, spaces, modules, ...) objects can be both added and multiplied. The arithmetic of such objects is a challenge because there is usually no subtraction. We prove a family of cases of the following principle: if an arithmetic statement about the objects can be proved by pretending that they are complex numbers, then there also exists an honest proof.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Leinster, Dr Tom |
| Authors: | Fiore, M., and Leinster, T. |
| Subjects: | Q Science > QA Mathematics |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Advances in Mathematics |
| Journal Abbr.: | Adv. Math. |
| ISSN: | 0001-8708 |
| ISSN (Online): | 1090-2082 |
| Published Online: | 21 April 2004 |
| Related URLs: |
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