Open diameter maps on suspensions

Hussam Abobaker; Robert Roe

Open diameter maps on suspensions

Authors

Hussam Abobaker Virginia Tech
Robert Roe Missouri University of Science and Technology

Keywords:

diameter, open maps, hyperspaces

Abstract

It is shown that if $X$ is a metric continuum, which admits an open diameter map, then the suspension of $X$, admits an open diameter map. As a corollary, we have that all spheres admit open diameter maps.

References

W. J. Charatonik, R. P. Roe, and I. U. Tiryaki, Open diameters on graphs, Houston J. Math, 46 (2020), 1-23.

W. J. Charatonik, and A. Samulewicz On size mappings, Rocky Mountain J. Math. 32 (2002), 45-69.

S. B. Nadler, Hyperspaces of sets, Dekker, New York and Basel, 1978.

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Published

2023-08-26

How to Cite

Abobaker, H., & Roe, R. (2023). Open diameter maps on suspensions. Topology Proceedings, 63, 103–106. Retrieved from https://topology.journals.yorku.ca/index.php/tp/article/view/171