Complete pairs of coanalytic sets
Fundamenta Mathematicae (2007)
- Volume: 194, Issue: 3, page 267-281
- ISSN: 0016-2736
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topJean Saint Raymond. "Complete pairs of coanalytic sets." Fundamenta Mathematicae 194.3 (2007): 267-281. <http://eudml.org/doc/286069>.
@article{JeanSaintRaymond2007,
abstract = {Let X be a Polish space, and let C₀ and C₁ be disjoint coanalytic subsets of X. The pair (C₀,C₁) is said to be complete if for every pair (D₀,D₁) of disjoint coanalytic subsets of $ω^\{ω\}$ there exists a continuous function $f: ω^\{ω\} → X$ such that $f^\{-1\}(C₀) = D₀$ and $f^\{-1\}(C₁) = D₁$. We give several explicit examples of complete pairs of coanalytic sets.},
author = {Jean Saint Raymond},
journal = {Fundamenta Mathematicae},
keywords = {coanalytic sets; bianalytic functions; functions with closed graph},
language = {eng},
number = {3},
pages = {267-281},
title = {Complete pairs of coanalytic sets},
url = {http://eudml.org/doc/286069},
volume = {194},
year = {2007},
}
TY - JOUR
AU - Jean Saint Raymond
TI - Complete pairs of coanalytic sets
JO - Fundamenta Mathematicae
PY - 2007
VL - 194
IS - 3
SP - 267
EP - 281
AB - Let X be a Polish space, and let C₀ and C₁ be disjoint coanalytic subsets of X. The pair (C₀,C₁) is said to be complete if for every pair (D₀,D₁) of disjoint coanalytic subsets of $ω^{ω}$ there exists a continuous function $f: ω^{ω} → X$ such that $f^{-1}(C₀) = D₀$ and $f^{-1}(C₁) = D₁$. We give several explicit examples of complete pairs of coanalytic sets.
LA - eng
KW - coanalytic sets; bianalytic functions; functions with closed graph
UR - http://eudml.org/doc/286069
ER -
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