When is the space of semi-additive functionals an absolute (neighbourhood) retract?

dc.contributor.authorAdilbek Atakhanovich Zaitov, Khamidjon Kurbanov
dc.date.accessioned2023-05-10T13:23:18Z
dc.date.available2023-05-10T13:23:18Z
dc.date.issued2022
dc.description.abstractIn 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.
dc.identifier.issn2409-8906
dc.identifier.urihttps://card-file.ontu.edu.ua/handle/123456789/25007
dc.sourceProceedings of the International Geometry Center
dc.titleWhen is the space of semi-additive functionals an absolute (neighbourhood) retract?
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