7 citations · 9 across the 4 of their papers we have counts for
4 papers
spaces for polygonally inscribed curves
Shaymaa Al-shakarchi, Ian Doust
For certain families of compact subsets of the plane, the isomorphism class of the algebra of absolutely continuous functions on a set is completely determined by the homeomorphism…
Isomorphisms of spaces
Shaymaa Al-shakarchi, Ian Doust
In this paper we investigate the relationship between the properties of a compact set and the structure of the space of functions of bounded variati…
Isomorphisms of spaces for linear graphs
Shaymaa Al-shakarchi, Ian Doust
We show that among compact subsets of the plane which are drawings of linear graphs, two sets and are homeomorphic if and only if the corresponding spaces of absolutely con…
Isomorphisms of spaces for countable sets
Ian Doust, Shaymaa Al-shakarchi
It is known that the classical Banach--Stone theorem does not extend to the class of spaces of absolutely continuous functions defined on compact subsets of the complex pla…