Generalized analytic spaces, completeness and fragmentability

Title:

Generalized analytic spaces, completeness and fragmentability

Creator:

Holický, Petr

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:ba5deaad-1153-49bf-9d7b-afddcd872aef
uuid:ba5deaad-1153-49bf-9d7b-afddcd872aef

Subject:

scattered-$K$-analytic space, isolated-$K$-analytic space, Čech analytic space, $\sigma $-fragmented space, and complete sequence of covers

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

Classical analytic spaces can be characterized as projections of Polish spaces. We prove analogous results for three classes of generalized analytic spaces that were introduced by Z. Frolík, D. Fremlin and R. Hansell. We use the technique of complete sequences of covers. We explain also some relations of analyticity to certain fragmentability properties of topological spaces endowed with an additional metric.

Language:

English

Rights:

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

Coverage:

791-818

Source:

Czechoslovak Mathematical Journal | 2001 Volume:51 | Number:4

Harvested from:

CDK

Metadata only:

false