Abstract
Using the Freudenthal compactification, we show that each stable plane whose lines are connected curves has for point space either the open disk, or the compact surface of genus 1, or the Möbius strip. This continues an investigation of Salzmann (Pacific J. Math. 29 (1969), 397–402).
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Dedicated to Reiner Salzmann on the occasion of his 65th birthday
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Löwen, R. Ends of surface geometries, revisited. Geom Dedicata 58, 175–183 (1995). https://doi.org/10.1007/BF01265636
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DOI: https://doi.org/10.1007/BF01265636