Its Tim Porter again, There are two other preprints that would be of interest, perhaps, to a different audience. They are: 05.01 GRATUS, J. & PORTER, T. A geometry of information, I: Nerves, posets and differential forms Abstract: The main theme of this workshop is Spatial Representation: Continuous vs. Discrete. Spatial representation has two contrasting but interacting aspects (i) representation of spaces' and (ii) representation by spaces. In this paper we will examine two aspects that are common to both interpretations of the theme, namely nerve constructions and refinement. Representations change, data changes, spaces change. We will examine the possibility of a differential geometry of spatial representations of both types, and in the sequel give an algebra of differential forms that has the potential to handle the dynamical aspect of such a geometry. We will discuss briefly a conjectured class of spaces, generalising the Cantor set which would seem ideal as a test-bed for the set of tools we are developing. Download: 05_01.pdf <http://www.informatics.bangor.ac.uk/public/mathematics/research/ftp/cathom/05_01.pdf> Presented at: This paper is based on a talk at Schloss Dagstuhl (International Conference and Research Center for Computer Science) as part of the seminar Spatial Representation: Discrete vs. Continuous Computational Models <http://www.dagstuhl.de/04351/Materials/> (August 2004). This paper, and the corresponding part II, evolved from the talks entitled Fractafolds, their geometry and topology: a test bed for spatial representation given at the Seminar, as a result of the insights gleaned by the authors during the excellent sessions of the week. This research forms part of a project : \emph{Fractafolds, their geometry and topology}, partially supported by a grant from the Leverhulme Trust. This help is gratefully acknowledged. ------------------------------------------------------------------------ 05.02 GRATUS, J. & PORTER, T. A geometry of information, II: Sorkin models, and biextensional collapses Abstract: In this second part of our contribution to the workshop, we look in more detail at the Sorkin model, its relationship to constructions in Chu space theory, and then compare it with the Nerve constructions given in the first part. This research forms part of a project: Fractafolds, their geometry and topology, partially supported by a grant from the Leverhulme Trust. This help is gratefully acknowledged. Download: * 05_02.pdf <http://www.informatics.bangor.ac.uk/public/mathematics/research/ftp/cathom/05_02.pdf> ________________________- They, and a lot more by others, can also be found at: http://drops.dagstuhl.de/portals/04351/ Do go and have a look. Best wishes, Tim 27-Apr-2005 13:04:19 -0300,5633;000000000000-0000001b