Maximal Linked Systems / Dobrynina M.A. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2011. № 2. P. 27-30 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 0].

A compact space X such that the space λ3(X) of maximal 3-linked systems is not normal is constructed. It is proved that for any product of infinite separable spaces there exists a maximal linked system with the support equal to the product space. It is proved that if the space X is connected and separable, then the set of maximal 3-linked systems with connected supports is everywhere dense in the superextension λ(X). The properties of seminormal functors preserving one-to-one points are discussed.

Key words: maximal k-linked systems, support, superextension functor, seminormal functors.

№ 2/2011