Multifibrations. A class of shape fibrations with the path lifting property

Title:

Multifibrations. A class of shape fibrations with the path lifting property

Creator:

Giraldo, Antonio and Sanjurjo, José M. R.

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:cd39936c-c09d-42a6-a9b8-76e2b90b511f
uuid:cd39936c-c09d-42a6-a9b8-76e2b90b511f

Subject:

shape fibration, multivalued map, path lifting property, and strong shape

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

In this paper we introduce a class of maps possessing a multivalued homotopy lifting property with respect to every topological space. We call these maps multifibrations and they represent a formally stronger concept than that of shape fibration. Multifibrations have the interesting property of being characterized in a completely intrinsic way by a path lifting property involving only the total and the base space of the fibration. We also show that multifibrations (and also, with some restrictions, shape fibrations) have a lifting property for homotopies of fine multivalued maps. This implies, when the spaces considered are metric compacta, that the possibility of lifting a fine multivalued map is a property of the corresponding strong shape morphism and not of the particular map considered.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

29-38

Source:

Czechoslovak Mathematical Journal | 2001 Volume:51 | Number:1

Harvested from:

CDK

Metadata only:

false