The Baire Category Theorem and Cardinals of Countable Cofinality. - Arnold W. Miller (J. Symb. Log., 1982)

Mapping a Set of Reals Onto the Reals. - Arnold W. Miller (J. Symb. Log., 1983)

On the Borel classification of the isomorphism class of a countable model. - Arnold W. Miller (Notre Dame J. Formal Log., 1983)

A Minimal Degree Which Collapses omega1. - Tim Carlson; Kenneth Kunen; Arnold W. Miller (J. Symb. Log., 1984)

Infinite Combinatorics and Definability. - Arnold W. Miller (Ann. Pure Appl. Log., 1989)

Descriptive Set Theory Over Hyperfinite Sets. - H. Jerome Keisler; Kenneth Kunen; Arnold W. Miller; Steven C. Leth (J. Symb. Log., 1989)

Projective Subsets of Separable Metric Spaces. - Arnold W. Miller (Ann. Pure Appl. Log., 1990)

Set Theoretic Properties of Loeb Measure. - Arnold W. Miller (J. Symb. Log., 1990)

Sacks forcing, Laver forcing, and Martin's axiom. - Haim Judah; Arnold W. Miller; Saharon Shelah (Arch. Math. Log., 1992)

Descriptive set theory and forcing - how to prove theorems about Borel sets the hard way. - Arnold W. Miller (Springer, 1996)

Orthogonal Familes of Real Sequences. - Arnold W. Miller; Juris Steprans (J. Symb. Log., 1998)

The gamma-borel conjecture. - Arnold W. Miller (Arch. Math. Log., 2005)

On relatively analytic and Borel subsets. - Arnold W. Miller (J. Symb. Log., 2005)

The number of translates of a closed nowhere dense set required to cover a Polish group. - Arnold W. Miller; Juris Steprans (Ann. Pure Appl. Log., 2006)

Long Borel hierarchies. - Arnold W. Miller (Math. Log. Q., 2008)

A dedekind finite borel set. - Arnold W. Miller (Arch. Math. Log., 2011)

Universal sets for pointsets properly on the nth level of the projective hierarchy. - Greg Hjorth; Leigh Humphries; Arnold W. Miller (J. Symb. Log., 2013)

Selective covering properties of product spaces. - Arnold W. Miller; Boaz Tsaban; Lyubomyr Zdomskyy (Ann. Pure Appl. Log., 2014)

Descriptive Set Theory and Forcing: How to Prove Theorems about Borel Sets the Hard Way - Arnold W. Miller (Cambridge University Press, 2017)

Ideal Independent families and the Ultrafilter number. - Jonathan Cancino; Osvaldo Guzmán González; Arnold W. Miller (J. Symb. Log., 2021)