%0 Journal Article
%T ¦¤-related functions and generalized inverse limits
%A Sovi£¿
%A Tina
%J -
%D 2019
%R 10.3336/gm.54.2.09
%X Sa£¿etak For any continuous single-valued functions \(f,g: [0,1] \rightarrow [0,1]\) we define upper semicontinuous set-valued functions \(F,G: [0,1] \multimap [0,1]\) by their graphs as the unions of the diagonal \(\Delta\) and the graphs of set-valued inverses of \(f\) and \(g\) respectively. We introduce when two functions are \(\Delta\)-related and show that if \(f\) and \(g\) are \(\Delta\)-related, then the inverse limits \(\varproj F\) and \(\varproj G\) are homeomorphic. We also give conditions under which \(\varproj G\) is a quotient space of \(\varproj F\)
%K Inverse limits
%K upper semicontinuous functions
%K quotient maps
%U https://hrcak.srce.hr/index.php?show=clanak&id_clanak_jezik=333810