18 citations · 78 across the 36 of their papers we have counts for
37 papers
Remark 3.4 A Dedekind Finite Borel Set
Arnold W. Miller
Asaf Karagila pointed out that Remark 3.4 [1], directly contradicts Theorem 3.3 (c) [2] which was incorrectly stated. This note contains a proof of this remark. [1] Miller, Arnold…
The onto mapping property of Sierpinski
Arnold W. Miller
Define (*) There exists such that for every uncountable which is a subset of there exists such that maps onto . This is roughly…
Partitions of 2^ω and completely ultrametrizable spaces
William R. Brian, Arnold W. Miller
We prove that, for every n, the topological space ω_n^ω (where ω_n has the discrete topology) can be partitioned into ω_n copies of the Baire space. Using this fact, the authors th…
Selective covering properties of product spaces, II: gamma spaces
Arnold W. Miller, Boaz Tsaban, Lyubomyr Zdomskyy
We study productive properties of gamma spaces, and their relation to other, classic and modern, selective covering properties. Among other things, we prove the following results:…
Countable subgroups of Euclidean Space
Arnold W. Miller
In his PhD Thesis Konstantinos Beros proved a number of results about compactly generated subgroups of Polish groups. Such a group is K-sigma - the countable union of compact sets.…
Selective covering properties of product spaces
Arnold W. Miller, Boaz Tsaban, Lyubomyr Zdomskyy
We study the preservation of selective covering properties, including classic ones introduced by Menger, Hurewicz, Rothberger, Gerlits and Nagy, and others, under products with som…