We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
CARDINALITY OF INVERSE LIMITS WITH UPPER SEMICONTINUOUS BONDING FUNCTIONS.
- Authors
ROŠKARIČ, MATEJ; TRATNIK, NIKO
- Abstract
We explore the cardinality of generalised inverse limits. Among other things, we show that, for any $n\in \{5_{0},c,1,2,3,\dots \}$, there is an upper semicontinuous function with the inverse limit having exactly $n$ points. We also prove that if $f$ is an upper semicontinuous function whose graph is a continuum, then the cardinality of the corresponding inverse limit is either 1, $5_{0}$ or $c$. This generalises the recent result of I. Banič and J. Kennedy, which claims that the same is true in the case where the graph is an arc.
- Subjects
INTEGERS; INVERSE relationships (Mathematics); MATHEMATICAL functions; GRAPHIC methods; MATRIX inversion
- Publication
Bulletin of the Australian Mathematical Society, 2015, Vol 91, Issue 1, p167
- ISSN
0004-9727
- Publication type
Article
- DOI
10.1017/S0004972714000689