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Seminar of Laboratory of Theory of Functions "Modern Problems of Complex Analysis"
April 13, 2023 11:30–12:30
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Topological and cardinal properties of covariant functors of finite degree
D. T. Safarova National University of Uzbekistan named after M. Ulugbek, Tashkent
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Abstract:
The report is devoted to the study of cardinal and topological properties of covariant functors of finite degree. It is proved that the functor ${{\exp }_{c}}$ preserves final compactness, extremal disconnection, and an example is constructed that the functor $\exp$ does not preserve final compactness. It is also proved that the uniform hyperspace $(\exp_c X, \exp_c \mathcal{U})$ preserves precompactness, uniform locally compactness, uniform connectivity, uniform $R$-paracompactness, uniform entanglement, and uniform $P$-precompactness.
Website:
https://us02web.zoom.us/j/8022228888?pwd=b3M4cFJxUHFnZnpuU3kyWW8vNzg0QT09
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