4 papers
The Set-Self-Tietze Property
Andrew Wood
We introduce the set-self-Tietze property, an analogue of the self-Tietze property for upper semi-continuous set-valued functions. A topological space is self-Tietze, if for ev…
Edge Inversions in -closed Groups
Kirwin Hampshire, Florian Lehner, Andrew Wood
We construct -closed groups acting on in which all edge inversions have infinite order. This provides a negative answer to a question posed by Tornier. We also constru…
Transitivity in CR-Dynamical Systems
Sina Greenwood, Andrew Wood
A CR-dynamical system is a pair , where is a compact metric space and is a closed relation (CR) on . In this paper, we introduce a new type of transitive point a…
Shadowing in CR-Dynamical Systems
Andrew Wood
A CR-dynamical system is a pair , where is a non-empty compact Hausdorff space with uniformity and is a closed relation on . In this paper we intro…