Strict Model Structures for Pro-categories
Bibliographic Data
| ID | 23593136 |
|---|---|
| Authors | Daniel C Isaksen (0009-0001-3825-0625, University of Notre Dame, corresponding author) |
| Year | 2003 |
| Pages | 179-198 |
| Publication date | 2003-01-01 |
| Peer Reviewed | Yes |
| Open Access | No |
| Type | CHAPTER |
| Venue | Categorical Decomposition Techniques in Algebraic Topology (SOURCE_BOOK) |
| Publisher | Birkhäuser Basel (PUBLISHER) |
| DOI | 10.1007/978-3-0348-7863-0_11 |
| OpenAlex | W1665307276 |
| ISBN | 9783034878630 |
| Language | EN |
| References cited | 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
| Citation velocity | historical |
|---|---|
| Highly cited | No |