Analytic Baire spaces

A. J. Ostaszewski

Fundamenta Mathematicae (2012)

  • Volume: 217, Issue: 3, page 189-210
  • ISSN: 0016-2736

Abstract

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We generalize to the non-separable context a theorem of Levi characterizing Baire analytic spaces. This allows us to prove a joint-continuity result for non-separable normed groups, previously known only in the separable context.

How to cite

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A. J. Ostaszewski. "Analytic Baire spaces." Fundamenta Mathematicae 217.3 (2012): 189-210. <http://eudml.org/doc/282930>.

@article{A2012,
abstract = {We generalize to the non-separable context a theorem of Levi characterizing Baire analytic spaces. This allows us to prove a joint-continuity result for non-separable normed groups, previously known only in the separable context.},
author = {A. J. Ostaszewski},
journal = {Fundamenta Mathematicae},
keywords = {automatic continuity; analytic sets; analytic Baire theorem; analytic Cantor theorem; Nikodym's stability theorem; non-separable descriptive topology; shift-compactness; non-commutative groups; group-norm; open mapping},
language = {eng},
number = {3},
pages = {189-210},
title = {Analytic Baire spaces},
url = {http://eudml.org/doc/282930},
volume = {217},
year = {2012},
}

TY - JOUR
AU - A. J. Ostaszewski
TI - Analytic Baire spaces
JO - Fundamenta Mathematicae
PY - 2012
VL - 217
IS - 3
SP - 189
EP - 210
AB - We generalize to the non-separable context a theorem of Levi characterizing Baire analytic spaces. This allows us to prove a joint-continuity result for non-separable normed groups, previously known only in the separable context.
LA - eng
KW - automatic continuity; analytic sets; analytic Baire theorem; analytic Cantor theorem; Nikodym's stability theorem; non-separable descriptive topology; shift-compactness; non-commutative groups; group-norm; open mapping
UR - http://eudml.org/doc/282930
ER -

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