Affiliation:
1. Chonbuk National University, Department of Mathematics, and Institute of Pure and Applied Mathematics, Baekje-daero, Deokjin-gu, Jeonju-si, Jeollabuk-do, Republic of Korea
Abstract
In this paper, we consider the various sets of comultiplications of a wedge
of spheres and provide some methods to calculate many kinds of
comultiplications with different properties. In particular, we concentrate on
studying to compute the number of comultiplications, associative
comultiplications, commutative comultiplications, and comultiplications
which are both associative and commutative of a wedge of spheres. The more
spheres that appear in a wedge, the more complicate the proofs and
computations become. Our methods involve the basic Whitehead products in a
wedge of spheres and the Hopf-Hilton invariants.
Publisher
National Library of Serbia
Cited by
14 articles.
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