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math.GR2010★ 9 cited
Algebra in the superextensions of semilattices
Taras Banakh, Volodymyr Gavrylkiv
Given a semilattice we study the algebraic properties of the semigroup of upfamilies on . The semigroup contains the Stone-Cech extension ,…
math.CT2010
Extending binary operations to funtor-spaces
Taras Banakh, Volodymyr Gavrylkiv
Given a continuous monadic functor T in the category of Tychonov spaces for each discrete topological semigroup X we extend the semigroup operation of X to a right-topological semi…