Existence theorems for weakly symmetric operations

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A strong Mal’cev condition for locally finite varieties omitting the unary type (2010, background): “Recently, in [12], it was shown that a locally finite variety omits the unary type if and only if it has a WNU operation.”
Characterizations of several Maltsev conditions (2015, background): “2 of [21] and the main result of [2] or [8].”
Optimal strong Mal’cev conditions for omitting type 1 in locally finite varieties (2014, methodology): “More recently [9] and [1] have useful new Mal’cev conditions equivalent to Taylor’s for locally finite varieties.”
A Proof of CSP Dichotomy Conjecture (2017, background): “[12] Suppose Γ ⊆ RA, {σ=a | a ∈ A} ⊆ Γ.”