2 research outputs found
Skeletally Dugundji spaces
We introduce and investigate the class of skeletally Dugundji spaces as a
skeletal analogue of Dugundji space. The main result states that the following
conditions are equivalent for a given space : (i) is skeletally
Dugundji; (ii) Every compactification of is co-absolute to a Dugundji
space; (iii) Every -embedding of the absolute in another space is
strongly -regular; (iv) has a multiplicative lattice in the sense of
Shchepin \cite{s76} consisting of skeletal maps