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A commutativity condition for subsets in quandles โ€” a generalization of antipodal subsets

A commutativity condition for subsets in quandles โ€” a generalization of antipodal subsets

In this paper, we introduce some commutativity condition for subsets in quandles, which we call the s-commutativity. Note that quandles can be regarded as a generalization of symmetric spaces, and the notion of s-commutative subsets is a generalization of antipodal subsets. We study maximal s-commutative subsets in quandles, and show โ€ฆ