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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.

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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.
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