Raptis, George and Steimle, Wolfgang (2019) A cobordism model for Waldhausen K-theory. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 99 (2). pp. 516-534. ISSN 0024-6107, 1469-7750
Full text not available from this repository. (Request a copy)Abstract
We study a categorical construction called the cobordism category, which associates to each Waldhausen category a simplicial category of cospans. We prove that this construction is homotopy equivalent to Waldhausen's S center dot-construction and therefore it defines a model for Waldhausen K-theory. As an example, we discuss this model for A-theory and show that the cobordism category of homotopy finite spaces has the homotopy type of Waldhausen's A(*). We also review the canonical map from the cobordism category of manifolds to A-theory from this viewpoint.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | CATEGORIES; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Ulrich Bunke |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 20 Apr 2020 05:08 |
| Last Modified: | 20 Apr 2020 05:08 |
| URI: | https://pred.uni-regensburg.de/id/eprint/27274 |
Actions (login required)
 |
View Item |
