title: Phenotype spaces.
abstract: The topological viewpoint on spaces of phenotypes presented in Stadler et al. (J Theor Biol 213:241-274, 2001) is revisited, and a quantified version is proposed. While necessary probabilistic information can be encoded in a topological- like fashion, it turns out that it is not reflected adequately by the concept of continuity. We propose alternative models, but the behavior of maps make these models non-topological in fundamental ways.
authors.affiliation: Department of Mathematical Sciences, Georgia Southern University, Statesboro, GA 30460-8093, USA. fmynard@georgiasouthern.edu
authors.forename: Frédéric
authors.initials: F
authors.lastname: Mynard
authors.forename: Gavin J
authors.initials: GJ
authors.lastname: Seal