Quasi-metric spaces and point-free geometry

nded abstract of a paper published on Math. Struct. in Comp. Science, 16 (2006) 115-137) Anna Di Concilio and Giangiacomo Gerla Dipartimento di Matematica e Informatica, Via Ponte don Melillo, 84084 Fisciano (Salerno), Italy. Received 5 April 2006 An approach to point-free geometry based on the notion of a quasi-metric is proposed in which the primitives are the regions and a non symmetric distance between regions. The intended models are the bounded regular closed subsets of a metric space together with the Hausdorff excess measure. Keywords. Quasi-metrics, point-free geometry, spatial reasoning, Hausdorff excess. Mathematics Subject Classification: 54E99, 51F99, 51A05.

• Type: Journal
• Year: 2006
• Where: MSCS
• Authors: Anna Di Concilio, Giangiacomo Gerla
• Keywords: Gerla Dipartimento Di, Hausdorff Excess, MSCS 2006, Ponte Don Melillo