Generating sequences of functions,

James D. Mitchell; Yann Peresse; Martyn Quick

doi:10.1093/qmath/hal011

Generating sequences of functions,

James D. Mitchell, Yann Peresse, Martyn Quick

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	71-79
Number of pages	9
Journal	Quarterly Journal of Mathematics
Volume	58
Issue number	1
DOIs	https://doi.org/10.1093/qmath/hal011
Publication status	Published - 18 Jul 2006

Keywords

SEMIGROUPS
Infinite Combinatorics

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10.1093/qmath/hal011

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abstract = "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.",

keywords = "SEMIGROUPS, Infinite Combinatorics",

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AU - Quick, Martyn

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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.

KW - SEMIGROUPS

KW - Infinite Combinatorics

U2 - 10.1093/qmath/hal011

DO - 10.1093/qmath/hal011

M3 - Article

SN - 1464-3847

VL - 58

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JO - Quarterly Journal of Mathematics

JF - Quarterly Journal of Mathematics

IS - 1

ER -

Generating sequences of functions,

Abstract

Keywords

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