A problem with almost everywhere equality

Piotr Niemiec. "A problem with almost everywhere equality." Annales Polonici Mathematici 104.1 (2012): 105-108. <http://eudml.org/doc/286240>.

@article{PiotrNiemiec2012,
abstract = {A topological space Y is said to have (AEEP) if the following condition is satisfied: Whenever (X,) is a measurable space and f,g: X → Y are two measurable functions, then the set Δ(f,g) = x ∈ X: f(x) = g(x) is a member of . It is shown that a metrizable space Y has (AEEP) iff the cardinality of Y is not greater than $2^\{ℵ₀\}$.},
author = {Piotr Niemiec},
journal = {Annales Polonici Mathematici},
keywords = {measurability; almost everywhere equality; metrizable space; measurable space; measurable function; measurable set},
language = {eng},
number = {1},
pages = {105-108},
title = {A problem with almost everywhere equality},
url = {http://eudml.org/doc/286240},
volume = {104},
year = {2012},
}

TY - JOUR
AU - Piotr Niemiec
TI - A problem with almost everywhere equality
JO - Annales Polonici Mathematici
PY - 2012
VL - 104
IS - 1
SP - 105
EP - 108
AB - A topological space Y is said to have (AEEP) if the following condition is satisfied: Whenever (X,) is a measurable space and f,g: X → Y are two measurable functions, then the set Δ(f,g) = x ∈ X: f(x) = g(x) is a member of . It is shown that a metrizable space Y has (AEEP) iff the cardinality of Y is not greater than $2^{ℵ₀}$.
LA - eng
KW - measurability; almost everywhere equality; metrizable space; measurable space; measurable function; measurable set
UR - http://eudml.org/doc/286240
ER -