1. Generalized analytic spaces, completeness and fragmentability
- Creator:
- Holický, Petr
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- scattered-$K$-analytic space, isolated-$K$-analytic space, Čech analytic space, $\sigma $-fragmented space, and complete sequence of covers
- Language:
- English
- 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.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public