Golledge R G, Hubert L J, 1982, "Some comments on non-Euclidean mental maps" Environment and Planning A 14(1) 107 – 118
Download citation data in RIS format
Some comments on non-Euclidean mental maps
R G Golledge, L J Hubert
Received 30 October 1980
Abstract. The Euclidean metric is perhaps the most commonly used and most convenient one for representing mapped phenomena. In this paper we examine the suitability of representing cognitive phenomena via the Euclidean metric. Some general properties of spaces are examined with particular emphasis on the properties of isotropy, incompleteness, and curvature, and a more detailed discussion is undertaken of the suitability of using curved spaces (particularly Reimannian spaces) for the representation of cognitive information. A final discussion is presented on the problems of handling manifolds with folds, warps, and tears; and speculations are made concerning the appropriateness of non-Euclidean metrics for the spatial representation of mental maps.
Full-text PDF size: 1624 Kb
Your computer (IP address: 126.96.36.199) has not been recognised as being on a network authorised to view the full text or references of this article. This content is part of our deep back archive. If you are a member of a university library that has a subscription to the journal, please contact your serials librarian (subscriptions information).