The size of quasicontinuous maps on Khalimsky line

In the following text we show if D is Khalimsky line (resp. Khalimsky plane, Khalimsky circle, Khalimsky sphere), then for topological space X we show the collection of all quasicontinuous maps from D to X has cardinality card(X)ℵ.

کلیدواژه ها:

Alexandroff space ، Khamilsky circle ، Khamilsky sphere