Shift and coherent shift in inverse systems (Q1878510)
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: Shift and coherent shift in inverse systems |
scientific article; zbMATH DE number 2093550
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Shift and coherent shift in inverse systems |
scientific article; zbMATH DE number 2093550 |
Statements
Shift and coherent shift in inverse systems (English)
0 references
20 August 2004
0 references
The category pro-HTop, the pro-category of the homotopy category of topological spaces is by no means sufficient for defining strong shape. For this purpose one has to take into account \textit{coherent} homotopies of arbitrary high degree. This is well known since more than 30 years. The present author establishes two categories CPHTop and Coh which use special coherence conditions for objects, mappings and homotopies between these morphisms to achieve that purpose. It turns out that there is a full embedding of Coh into CPHTop.
0 references
Level homotopy
0 references
Coherent inverse system
0 references
Commutative
0 references
Coherent map
0 references
Coherent homotopy
0 references
0 references
0.82982266
0 references
0.8293983
0 references
0.82322305
0 references
0 references
0.8155482
0 references
0.8120855
0 references
0.81017655
0 references
