36th Summer Topology Conference

July 18-22, 2022

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

"An n-Cell as a Generalize Inverse Limit Indexed by the Integers"

Lemež, Boštjan

We construct an upper semicontinuous function $f:[0, 1]\rightarrow 2^{[0, 1]}$ such that the inverse limit of an inverse sequence of closed unit intervals with $f$ as the bonding function indexed by the integers is a 3-cell. R. P. Vernon presented an example of a function such that a 2-cell is obtained as inverse limit and stated a question whether exist a function such that the inverse limit indexed by the integers is an $n$-cell for $n>2$. We will also generalize the function $f$ and obtain an $n$-cell for any positive integer $n$.

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