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Reflexivity Iindex and irrational rotations

Ma, B. and Harrison, K.J. (2021) Reflexivity Iindex and irrational rotations. Bulletin of the Australian Mathematical Society . First Review.

Link to Published Version: https://doi.org/10.1017/S0004972721000162
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Abstract

We determine the reflexivity index of some closed set lattices by constructing maps relative to irrational rotations. For example, various nests of closed balls and some topological spaces, such as even-dimensional spheres and a wedge of two circles, have reflexivity index 2. We also show that a connected double of spheres has reflexivity index at most 2.

Item Type: Journal Article
Murdoch Affiliation(s): College of Science, Health, Engineering and Education
Publisher: Cambridge University Press
Copyright: © 2021 Australian Mathematical Publishing Association Inc.
URI: http://researchrepository.murdoch.edu.au/id/eprint/60409
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