On \(c\)-homotopies
The author introduces an interesting notion of \(c\)-homotopy. The definition is the same as the usual one, only continuity is replaced by connectedness. Generalizing the Darboux property, the author calls a mapping to be connected if it sends connected sets onto connected sets. In the paper, the author shows that the \(c\)-homotopy has some reasonable properties analogous to those of usual homotopy.
scientific article; zbMATH DE number 1095838
scientific article