Generalized analytic spaces, completeness and fragmentability

Petr Holický

Czechoslovak Mathematical Journal (2001)

  • Volume: 51, Issue: 4, page 791-818
  • ISSN: 0011-4642

Abstract

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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.

How to cite

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Holický, Petr. "Generalized analytic spaces, completeness and fragmentability." Czechoslovak Mathematical Journal 51.4 (2001): 791-818. <http://eudml.org/doc/30672>.

@article{Holický2001,
abstract = {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.},
author = {Holický, Petr},
journal = {Czechoslovak Mathematical Journal},
keywords = {scattered-$K$-analytic space; isolated-$K$-analytic space; Čech analytic space; $\sigma $-fragmented space; complete sequence of covers; scattered--analytic space; isolated--analytic space; Čech analytic space; -fragmented space; complete sequence of covers},
language = {eng},
number = {4},
pages = {791-818},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Generalized analytic spaces, completeness and fragmentability},
url = {http://eudml.org/doc/30672},
volume = {51},
year = {2001},
}

TY - JOUR
AU - Holický, Petr
TI - Generalized analytic spaces, completeness and fragmentability
JO - Czechoslovak Mathematical Journal
PY - 2001
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 51
IS - 4
SP - 791
EP - 818
AB - 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.
LA - eng
KW - scattered-$K$-analytic space; isolated-$K$-analytic space; Čech analytic space; $\sigma $-fragmented space; complete sequence of covers; scattered--analytic space; isolated--analytic space; Čech analytic space; -fragmented space; complete sequence of covers
UR - http://eudml.org/doc/30672
ER -

References

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