Strict Model Structures for Pro-categories
Datos Bibliográficos
| ID | 23593136 |
|---|---|
| Autores | Daniel C Isaksen (0009-0001-3825-0625, University of Notre Dame, autor de correspondencia) |
| Año | 2003 |
| Páginas | 179-198 |
| Fecha de publicación | 2003-01-01 |
| Peer Reviewed | Sí |
| Open Access | No |
| Tipo | CHAPTER |
| Revista | Categorical Decomposition Techniques in Algebraic Topology (SOURCE_BOOK) |
| Editorial | Birkhäuser Basel (PUBLISHER) |
| DOI | 10.1007/978-3-0348-7863-0_11 |
| OpenAlex | W1665307276 |
| ISBN | 9783034878630 |
| Idioma | EN |
| Referencias citadas | 13 |
We show that if ς is a proper model category, then the pro-category pro-ς has a proper model structure in which the weak equivalences are the levelwise weak equivalences. The structure is simplicial when ς is simplicial. This is related to a major result of [] and is the starting point for many homotopy theories of pro-objects such as those described in [], [], and [].
Geometry · Homotopy · Homotopy category · Model category · Point (geometry) · Pure mathematics · Simplicial complex · Simplicial set · Advanced Topics in Algebra · Algebraic structures and combinatorial models · Computer Science · Homotopy and Cohomology in Algebraic Topology · Mathematics
| Velocidad de citación | historical |
|---|---|
| Altamente citado | No |