On the two definitions of Ho(pro C) (Q1104404)
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: On the two definitions of Ho(pro C) |
scientific article; zbMATH DE number 4055857
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the two definitions of Ho(pro C) |
scientific article; zbMATH DE number 4055857 |
Statements
On the two definitions of Ho(pro C) (English)
0 references
1988
0 references
In this note it is shown that the two constructions of a homotopy procategory given by the author [Math. Z. 140, 1-21 (1974; Zbl 0275.55022)] and by \textit{D. A. Edwards} and \textit{H. M. Hastings} [Čech and Steenrod homotopy theories with applications to geometric topology (1976; Zbl 0334.55001)] yield isomorphic categories. This implies that the Edwards-Hastings homotopy procategory and the Lisitsa-Mardešić coherent prohomotopy category [\textit{Yu. T. Lisitsa} and \textit{S. Mardešić}, Glasnik Mat., III. Ser. 19(39), 335-399 (1984; Zbl 0553.55009)] are equivalent.
0 references
coherent homotopy
0 references
level weak equivalence
0 references
strong shape theory
0 references
Quillen model category
0 references
homotopy procategory
0 references
0 references
0.7197976
0 references
0.7156831
0 references
0.7151867
0 references
