Elmendorf's Theorem for Diagrams
| Autor: | Housden, Hannah |
|---|---|
| Rok vydání: | 2023 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | The notion of a continuous $G$-action on a topological space readily generalizes to that of a continuous $D$-action, where $D$ is any small category. Dror Farjoun and Zabrodsky introduced a generalized notion of orbit, which is key to understanding spaces with continuous $D$-action. We give an overview of the theory of orbits and then prove a generalization of "Elmendorf's Theorem,'' which roughly states that the homotopical data of of a $D$-space is precisely captured by the homotopical data of its orbits. Comment: 26 pages. Comments welcome! |
| Databáze: | arXiv |
| Externí odkaz: |
|