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REFLEXIVITY INDEX OF THE PRODUCT OF SOME TOPOLOGICAL SPACES AND LATTICES

Part of: Lattices Linear function spaces and their duals

Published online by Cambridge University Press:  27 March 2023

BINGZHANG MA Open the ORCID record for BINGZHANG MA [Opens in a new window]
BINGZHANG MA*
Affiliation:
School of Mathematics, East China University of Science and Technology, Shanghai, PR China
*
e-mail: bingzhangmath@foxmail.com
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Abstract

We introduce a technique that is helpful in evaluating the reflexivity index of several classes of topological spaces and lattices. The main results are related to products: we give a sufficient condition for the product of a topological space and a nest of balls to have low reflexivity index and determine the reflexivity index of all compact connected 2-manifolds.

Keywords

closed set latticereflexivereflexivityreflexivity index

MSC classification

Primary: 46E05: Lattices of continuous, differentiable or analytic functions
Secondary: 06B30: Topological lattices, order topologies
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 109 , Issue 2 , April 2024 , pp. 376 - 387
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Copyright
© The Author(s), 2023. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.

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Footnotes

This research was supported by the National Natural Science Foundation of China (Grant No. 11871021).

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