Name
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. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1112/jlms.12182 | JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES |
Field | DocType | Volume |
Cobordism,Categorical variable,Mathematical analysis,Canonical map,Pure mathematics,Waldhausen category,Category of manifolds,K-theory,Homotopy,Mathematics | Journal | 99.0 |
Issue | ISSN | Citations |
2.0 | 0024-6107 | 0 |
PageRank | References | Authors |
0.34 | 0 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| George Raptis | 1 | 0 | 0.34 |
| Wolfgang Steimle | 2 | 0 | 0.34 |