Punctual Copies of Algebraic Structures
M. V. Zubkov, ISKANDER SH. KALIMULLIN, Alexander Melnikov, A. N. Frolov · Siberian Mathematical Journal · 2019
We estimate the complexity of constructing a punctual “online” copy of an algebraic structure. We establish a general upper bound as well as optimal bounds for classes of Boolean algebras, abelian p -groups, and linear orders. Moreover, the methods developed here are applied to solving Montalbán’s open problem (2013) about copyable linear orders.