Maqola

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

A. A. ZaitovTashkent Institute of Architecture and Civil Engineering, 13, A. Navoi Str., 100011, Tashkent, Uzbekistan. Nukus State Pedagogical Institute, 104, P. Seyitov Str., 230100, Nukus, KarakalpakstanKhamidjon KurbanovAcademy of the Armed Forces of the Republic of Uzbekistan, 2, Parkent Str., 100023, Tashkent, Uzbekistan

Proceedings of the International Geometry Centerjournal2022en

ABI

Annotatsiya

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.

Mavzular

Advanced Topology and Set Theory Functional Equations Stability Results Advanced Banach Space Theory

Identifikatorlar

DOI: 10.15673/tmgc.v15i2.2020

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