\({\mathcal C}at\) as a \(\Lambda\)-cofibration category (Q5957773)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: \({\mathcal C}at\) as a \(\Lambda\)-cofibration category |
scientific article; zbMATH DE number 1719028
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \({\mathcal C}at\) as a \(\Lambda\)-cofibration category |
scientific article; zbMATH DE number 1719028 |
Statements
\({\mathcal C}at\) as a \(\Lambda\)-cofibration category (English)
0 references
11 April 2003
0 references
natural cylinders
0 references
homotopy model structure
0 references
categorical homotopy
0 references
0 references
The motion of a family of natural cylinders in the category of small categories provides a new light on the homotopy of \({\mathcal C}at\) giving an homotopy model structure internally defined. NEWLINENEWLINENEWLINELinks are given with previous works about categorical homotopy (viewed internally as well as lifted from simplicial sets or topological spaces). NEWLINENEWLINENEWLINEThis paper will be followed by other studies to appear.
0 references
