1982 volume 14(1) pages 107 – 118

Cite as:
Golledge R G, Hubert L J, 1982, "Some comments on non-Euclidean mental maps" Environment and Planning A 14(1) 107 – 118

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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.

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