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Skeletally Dugundji spaces

Andrzej Kucharski, Szymon Plewik, Vesko Valov (2013)

Open Mathematics

We introduce and investigate the class of skeletally Dugundji spaces as a skeletal analogue of Dugundji space. Our main result states that the following conditions are equivalent for a given space X: (i) X is skeletally Dugundji; (ii) every compactification of X is co-absolute to a Dugundji space; (iii) every C*-embedding of the absolute p(X) in another space is strongly π-regular; (iv) X has a multiplicative lattice in the sense of Shchepin [Shchepin E.V., Topology of limit spaces with uncountable...

Sobre el teorema de inmersión de Mrówka.

Manuel López Pellicer, Enrique Tarazona Ferrandis (1981)

Revista Matemática Hispanoamericana

Certain equivalences of Mrowka's separating condition enable us to characterize when parametric maps are open, closed or quotient.

Some Comments on Q-Irresolute and Quasi-Irresolute Functions

Dontchev, Julian, Ganster, Maximilian (1995)

Serdica Mathematical Journal

The aim of this paper is to continue the study of θ-irresolute and quasi-irresolute functions as well as to give an example of a function which is θ-irresolute but neither quasi-irresolute nor an R-map and thus give an answer to a question posed by Ganster, Noiri and Reilly. We prove that RS-compactness is preserved under open, quasi-irresolute surjections.

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