The size of quasicontinuous maps on Khalimsky line

Document Type : Original Article


Faculty of Mathematics, Statistics and Computer Science, College of Science, University of Tehran, Tehran, Iran


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).