Том 15 № 2

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When is the space of semi-additive functionals an absolute (neighbourhood) retract?
(2022) Adilbek Atakhanovich Zaitov, Khamidjon Kurbanov
In the present paper proved that if for a given compact Hausdorff space X the hyperspace exp(X) is a contractible compact space then the space OSf(X) is also a contractible compact space. As a consequence it is established that the space OSf(X) of semi-additive functionals is absolute (neighbourhood) retract if and only if the hyperspace exp(X) is so.