Weakly countably determined spaces of high complexity
Studia Mathematica (2008)
- Volume: 185, Issue: 3, page 291-303
- ISSN: 0039-3223
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topAntonio Avilés. "Weakly countably determined spaces of high complexity." Studia Mathematica 185.3 (2008): 291-303. <http://eudml.org/doc/284994>.
@article{AntonioAvilés2008,
abstract = {We prove that there exist weakly countably determined spaces of complexity higher than coanalytic. On the other hand, we also show that coanalytic sets can be characterized by the existence of a cofinal adequate family of closed sets. Therefore the Banach spaces constructed by means of these families have at most coanalytic complexity.},
author = {Antonio Avilés},
journal = {Studia Mathematica},
keywords = {weakly countably determined Banach space; Gul'ko compact},
language = {eng},
number = {3},
pages = {291-303},
title = {Weakly countably determined spaces of high complexity},
url = {http://eudml.org/doc/284994},
volume = {185},
year = {2008},
}
TY - JOUR
AU - Antonio Avilés
TI - Weakly countably determined spaces of high complexity
JO - Studia Mathematica
PY - 2008
VL - 185
IS - 3
SP - 291
EP - 303
AB - We prove that there exist weakly countably determined spaces of complexity higher than coanalytic. On the other hand, we also show that coanalytic sets can be characterized by the existence of a cofinal adequate family of closed sets. Therefore the Banach spaces constructed by means of these families have at most coanalytic complexity.
LA - eng
KW - weakly countably determined Banach space; Gul'ko compact
UR - http://eudml.org/doc/284994
ER -
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