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 *λ*^{3}(*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.