Seminars: D. T. Safarova, Topological and cardinal properties of covariant functors of finite degree

SEMINARS


Seminar on Modern Problems of Complex Analysis (Sadullaev Seminar) April 13, 2023 11:30, Tashkent, National University of Uzbekistan, Room A304 (Department of Mathematics)

Topological and cardinal properties of covariant functors of finite degree D. T. Safarova National University of Uzbekistan named after M. Ulugbek, Tashkent
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