# '22

36th Summer Topology Conference

July 18-22, 2022

University of Vienna, Department of Mathematics
Oskar-Morgenstern-Platz 1, 1090 Vienna, AUSTRIA

### "$\Delta$-related functions and generalized inverse limits"

#### Sovič, Tina

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 generalized inverse limits $\varprojlim F$ and $\varprojlim G$ are homeomorphic.

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