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REFLEXIVITY INDEX AND IRRATIONAL ROTATIONS
Published online by Cambridge University Press: 29 March 2021
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.
MSC classification
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 104 , Issue 3 , December 2021 , pp. 493 - 505
- Copyright
- © 2021 Australian Mathematical Publishing Association Inc.
Footnotes
This research was partly supported by the National Natural Science Foundation of China (Grant No. 11871021).
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