Journal of the Ramanujan Mathematical Society
Volume 40, Issue 1, March 2025 pp. 73–78.
Self-length of the product and wedge of spheres
Authors:
Howon Choi
Author institution:Faculty of Liberal Arts and Teaching, Kangnam
University, 40 Gangnam-ro, Yongin-si, 16979, Korea.
Summary:
The self-length L{E(X)} is the number of strict
inclusions of the monoid chain on A{#}{n}(X) for all
k ≥ 0.
For~all~ m, n ≥ 1, we summarize and determine the
self-closeness numbers of S{m} × S{n} and S{m} ∨ S{n},
respectively.
Using these, we explicitly determine the self-length of
S{m} × S{n} and S{m} ∨ S{n}.
The self-lengths of S{m} × S{n} and S{m} ∨ S{n} are
either 1 or 2.
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