TY - JOUR
T1 - Generating sequences of functions
AU - Mitchell, James David
AU - Peresse, Yann
AU - Quick, Martyn
N1 - June 2006
PY - 2007/3
Y1 - 2007/3
N2 - We consider the problem of obtaining an arbitrary countable collection of functions with specific properties as a composition of finitely many functions with the same property. The functions investigated are continuous, Baire-n, Lebesgue or Borel measurable, increasing, and differentiable functions on [0, 1], and increasing functions on N.
AB - We consider the problem of obtaining an arbitrary countable collection of functions with specific properties as a composition of finitely many functions with the same property. The functions investigated are continuous, Baire-n, Lebesgue or Borel measurable, increasing, and differentiable functions on [0, 1], and increasing functions on N.
UR - http://www.scopus.com/inward/record.url?scp=34548390230&partnerID=8YFLogxK
UR - http://qjmath.oxfordjournals.org/cgi/content/abstract/hal011v1?maxtoshow=&HITS=10&hits=10&RESULTFORMAT=&fulltext=mitchell&searchid=1&FIRSTINDEX=0&resourcetype=HWCIT&eaf
U2 - 10.1093/qmath/hal011
DO - 10.1093/qmath/hal011
M3 - Article
SN - 0033-5606
VL - 58
SP - 71
EP - 79
JO - Quarterly Journal of Mathematics
JF - Quarterly Journal of Mathematics
IS - 1
ER -