GERAGHTY EXTENSION TO k-DIMENSION

Extension Dimension and C - Spaces

Some generalizations of the classical Hurewicz formula are obtained for extension dimension and C-spaces. A characterization of the class of metrizable spaces which are absolute neighborhood extensors for all metrizable C-spaces is also given.

Adding Dimension Analysis to Java as a Composable Language Extension

In this paper we describe a language extension that adds dimension analysis to Java. Dimension analysis can be used to check that values that represent physical measurements such as length and mass are not used inconsistently. What distinguishes this work from previous work that adds dimension analysis to programming languages is that here the extension is implemented as a composable language e...

On Transfinite Extension of Asymptotic Dimension

We prove that a transfinite extension of asymptotic dimension asind is trivial. We introduce a transfinite extension of asymptotic dimension asdim and give an example of metric proper space which has transfinite infinite dimension. 0. Asymptotic dimension asdim of a metric space was defined by Gromov for studying asymptotic invariants of discrete groups [1]. This dimension can be considered as ...

0 Extension Dimension and C - Spaces

Some generalizations of the classical Hurewicz formula are obtained for extension dimension and C-spaces.

CHRISTINE GERAGHTY The Continuous Serial — A Definition